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What is the Least Common Multiple of 12610 and 12625?

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 12610 and 12625 is 31840250.

LCM(12610,12625) = 31840250

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Least Common Multiple of 12610 and 12625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12610 and 12625, than apply into the LCM equation.

GCF(12610,12625) = 5
LCM(12610,12625) = ( 12610 × 12625) / 5
LCM(12610,12625) = 159201250 / 5
LCM(12610,12625) = 31840250

Least Common Multiple (LCM) of 12610 and 12625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12610 and 12625. First we will calculate the prime factors of 12610 and 12625.

Prime Factorization of 12610

Prime factors of 12610 are 2, 5, 13, 97. Prime factorization of 12610 in exponential form is:

12610 = 21 × 51 × 131 × 971

Prime Factorization of 12625

Prime factors of 12625 are 5, 101. Prime factorization of 12625 in exponential form is:

12625 = 53 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 12610 and 12625.

LCM(12610,12625) = 21 × 53 × 131 × 971 × 1011
LCM(12610,12625) = 31840250