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What is the Least Common Multiple of 65125 and 65138?

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 65125 and 65138 is 4242112250.

LCM(65125,65138) = 4242112250

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Least Common Multiple of 65125 and 65138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65125 and 65138, than apply into the LCM equation.

GCF(65125,65138) = 1
LCM(65125,65138) = ( 65125 × 65138) / 1
LCM(65125,65138) = 4242112250 / 1
LCM(65125,65138) = 4242112250

Least Common Multiple (LCM) of 65125 and 65138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65125 and 65138. First we will calculate the prime factors of 65125 and 65138.

Prime Factorization of 65125

Prime factors of 65125 are 5, 521. Prime factorization of 65125 in exponential form is:

65125 = 53 × 5211

Prime Factorization of 65138

Prime factors of 65138 are 2, 32569. Prime factorization of 65138 in exponential form is:

65138 = 21 × 325691

Now multiplying the highest exponent prime factors to calculate the LCM of 65125 and 65138.

LCM(65125,65138) = 53 × 5211 × 21 × 325691
LCM(65125,65138) = 4242112250