Least Common Multiple of 321480 and 321488

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 321480 and 321488 by Prime method
• Least Common Multiple of 321480 and 321488 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 321480 and 321488. First we will calculate the prime factors of 321480 and 321488.

Prime Factorization of 321480

Prime factors of 321480 are 2, 3, 5, 19,47. Prime factorization of 321480 in exponential form is:

321480 = 2³×3²×5¹×19¹×47¹

Prime Factorization of 321488

Prime factors of 321488 are 2, 71,283. Prime factorization of 321488 in exponential form is:

321488 = 2⁴×71¹×283¹

Now multiplying the highest exponent prime factors to calculate the LCM of 321480 and 321488.

LCM(321480,321488) = 2⁴×3²×5¹×19¹×47¹×71¹×283¹
LCM(321480,321488) = 12918995280

Factors of 321480

List of positive integer factors of 321480 that divides 321480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 47, 57, 60, 72, 76, 90, 94, 95, 114, 120, 141, 152, 171, 180, 188, 190, 228, 235, 282, 285, 342, 360, 376, 380, 423, 456, 470, 564, 570, 684, 705, 760, 846, 855, 893, 940, 1128, 1140, 1368, 1410, 1692, 1710, 1786, 1880, 2115, 2280, 2679, 2820, 3384, 3420, 3572, 4230, 4465, 5358, 5640, 6840, 7144, 8037, 8460, 8930, 10716, 13395, 16074, 16920, 17860, 21432, 26790, 32148, 35720, 40185, 53580, 64296, 80370, 107160, 160740, 321480

Factors of 321488

List of positive integer factors of 321488 that divides 321488 without a remainder.

1, 2, 4, 8, 16, 71, 142, 283, 284, 566, 568, 1132, 1136, 2264, 4528, 20093, 40186, 80372, 160744, 321488

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 321480 and 321488, than apply into the LCM equation.

GCF(321480,321488) = 8
LCM(321480,321488) = ( 321480 × 321488) / 8
LCM(321480,321488) = 103351962240 / 8
LCM(321480,321488) = 12918995280

(i) The LCM of 321488 and 321480 is associative

LCM of 321480 and 321488 = LCM of 321488 and 321480

1. What is the LCM of 321480 and 321488?

Answer: LCM of 321480 and 321488 is 12918995280.

2. What are the Factors of 321480?

Answer: Factors of 321480 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 47, 57, 60, 72, 76, 90, 94, 95, 114, 120, 141, 152, 171, 180, 188, 190, 228, 235, 282, 285, 342, 360, 376, 380, 423, 456, 470, 564, 570, 684, 705, 760, 846, 855, 893, 940, 1128, 1140, 1368, 1410, 1692, 1710, 1786, 1880, 2115, 2280, 2679, 2820, 3384, 3420, 3572, 4230, 4465, 5358, 5640, 6840, 7144, 8037, 8460, 8930, 10716, 13395, 16074, 16920, 17860, 21432, 26790, 32148, 35720, 40185, 53580, 64296, 80370, 107160, 160740, 321480. There are 96 integers that are factors of 321480. The greatest factor of 321480 is 321480.

3. What are the Factors of 321488?

Answer: Factors of 321488 are 1, 2, 4, 8, 16, 71, 142, 283, 284, 566, 568, 1132, 1136, 2264, 4528, 20093, 40186, 80372, 160744, 321488. There are 20 integers that are factors of 321488. The greatest factor of 321488 is 321488.

4. How to Find the LCM of 321480 and 321488?

Answer:

Least Common Multiple of 321480 and 321488 = 12918995280

Step 1: Find the prime factorization of 321480

321480 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 47

Step 2: Find the prime factorization of 321488

321488 = 2 x 2 x 2 x 2 x 71 x 283

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12918995280 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 47 x 71 x 283

Step 4: Therefore, the least common multiple of 321480 and 321488 is 12918995280.