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What is the Least Common Multiple of 60917 and 60925?

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 60917 and 60925 is 3711368225.

LCM(60917,60925) = 3711368225

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Least Common Multiple of 60917 and 60925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60917 and 60925, than apply into the LCM equation.

GCF(60917,60925) = 1
LCM(60917,60925) = ( 60917 × 60925) / 1
LCM(60917,60925) = 3711368225 / 1
LCM(60917,60925) = 3711368225

Least Common Multiple (LCM) of 60917 and 60925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60917 and 60925. First we will calculate the prime factors of 60917 and 60925.

Prime Factorization of 60917

Prime factors of 60917 are 60917. Prime factorization of 60917 in exponential form is:

60917 = 609171

Prime Factorization of 60925

Prime factors of 60925 are 5, 2437. Prime factorization of 60925 in exponential form is:

60925 = 52 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 60917 and 60925.

LCM(60917,60925) = 609171 × 52 × 24371
LCM(60917,60925) = 3711368225