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What is the Least Common Multiple of 7975 and 7987?

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 7975 and 7987 is 63696325.

LCM(7975,7987) = 63696325

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Least Common Multiple of 7975 and 7987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7975 and 7987, than apply into the LCM equation.

GCF(7975,7987) = 1
LCM(7975,7987) = ( 7975 × 7987) / 1
LCM(7975,7987) = 63696325 / 1
LCM(7975,7987) = 63696325

Least Common Multiple (LCM) of 7975 and 7987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7975 and 7987. First we will calculate the prime factors of 7975 and 7987.

Prime Factorization of 7975

Prime factors of 7975 are 5, 11, 29. Prime factorization of 7975 in exponential form is:

7975 = 52 × 111 × 291

Prime Factorization of 7987

Prime factors of 7987 are 7, 163. Prime factorization of 7987 in exponential form is:

7987 = 72 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 7975 and 7987.

LCM(7975,7987) = 52 × 111 × 291 × 72 × 1631
LCM(7975,7987) = 63696325