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What is the Least Common Multiple of 7917 and 7925?

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 7917 and 7925 is 62742225.

LCM(7917,7925) = 62742225

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Least Common Multiple of 7917 and 7925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7917 and 7925, than apply into the LCM equation.

GCF(7917,7925) = 1
LCM(7917,7925) = ( 7917 × 7925) / 1
LCM(7917,7925) = 62742225 / 1
LCM(7917,7925) = 62742225

Least Common Multiple (LCM) of 7917 and 7925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7917 and 7925. First we will calculate the prime factors of 7917 and 7925.

Prime Factorization of 7917

Prime factors of 7917 are 3, 7, 13, 29. Prime factorization of 7917 in exponential form is:

7917 = 31 × 71 × 131 × 291

Prime Factorization of 7925

Prime factors of 7925 are 5, 317. Prime factorization of 7925 in exponential form is:

7925 = 52 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 7917 and 7925.

LCM(7917,7925) = 31 × 71 × 131 × 291 × 52 × 3171
LCM(7917,7925) = 62742225