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What is the Least Common Multiple of 10625 and 10637?

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 10625 and 10637 is 113018125.

LCM(10625,10637) = 113018125

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Least Common Multiple of 10625 and 10637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10625 and 10637, than apply into the LCM equation.

GCF(10625,10637) = 1
LCM(10625,10637) = ( 10625 × 10637) / 1
LCM(10625,10637) = 113018125 / 1
LCM(10625,10637) = 113018125

Least Common Multiple (LCM) of 10625 and 10637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10625 and 10637. First we will calculate the prime factors of 10625 and 10637.

Prime Factorization of 10625

Prime factors of 10625 are 5, 17. Prime factorization of 10625 in exponential form is:

10625 = 54 × 171

Prime Factorization of 10637

Prime factors of 10637 are 11, 967. Prime factorization of 10637 in exponential form is:

10637 = 111 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 10625 and 10637.

LCM(10625,10637) = 54 × 171 × 111 × 9671
LCM(10625,10637) = 113018125