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What is the Least Common Multiple of 65131 and 65136?

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 65131 and 65136 is 4242372816.

LCM(65131,65136) = 4242372816

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Least Common Multiple of 65131 and 65136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65131 and 65136, than apply into the LCM equation.

GCF(65131,65136) = 1
LCM(65131,65136) = ( 65131 × 65136) / 1
LCM(65131,65136) = 4242372816 / 1
LCM(65131,65136) = 4242372816

Least Common Multiple (LCM) of 65131 and 65136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65131 and 65136. First we will calculate the prime factors of 65131 and 65136.

Prime Factorization of 65131

Prime factors of 65131 are 11, 31, 191. Prime factorization of 65131 in exponential form is:

65131 = 111 × 311 × 1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 65131 and 65136.

LCM(65131,65136) = 111 × 311 × 1911 × 24 × 31 × 231 × 591
LCM(65131,65136) = 4242372816