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What is the Least Common Multiple of 65131 and 65146?

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 65146 is 4243024126.

LCM(65131,65146) = 4243024126

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Least Common Multiple of 65131 and 65146 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 65146, than apply into the LCM equation.

GCF(65131,65146) = 1
LCM(65131,65146) = ( 65131 × 65146) / 1
LCM(65131,65146) = 4243024126 / 1
LCM(65131,65146) = 4243024126

Least Common Multiple (LCM) of 65131 and 65146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65131 and 65146. First we will calculate the prime factors of 65131 and 65146.

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 65146

Prime factors of 65146 are 2, 32573. Prime factorization of 65146 in exponential form is:

65146 = 21 × 325731

Now multiplying the highest exponent prime factors to calculate the LCM of 65131 and 65146.

LCM(65131,65146) = 111 × 311 × 1911 × 21 × 325731
LCM(65131,65146) = 4243024126