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What is the Least Common Multiple of 65136 and 65140?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 65136 and 65140 is 1060739760.

LCM(65136,65140) = 1060739760

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Least Common Multiple of 65136 and 65140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65136 and 65140, than apply into the LCM equation.

GCF(65136,65140) = 4
LCM(65136,65140) = ( 65136 × 65140) / 4
LCM(65136,65140) = 4242959040 / 4
LCM(65136,65140) = 1060739760

Least Common Multiple (LCM) of 65136 and 65140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65136 and 65140. First we will calculate the prime factors of 65136 and 65140.

Prime Factorization of 65136

Prime factors of 65136 are 2, 3, 23, 59. Prime factorization of 65136 in exponential form is:

65136 = 24 × 31 × 231 × 591

Prime Factorization of 65140

Prime factors of 65140 are 2, 5, 3257. Prime factorization of 65140 in exponential form is:

65140 = 22 × 51 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 65136 and 65140.

LCM(65136,65140) = 24 × 31 × 231 × 591 × 51 × 32571
LCM(65136,65140) = 1060739760