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What is the Least Common Multiple of 52975 and 52987?

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 52975 and 52987 is 2806986325.

LCM(52975,52987) = 2806986325

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Least Common Multiple of 52975 and 52987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52975 and 52987, than apply into the LCM equation.

GCF(52975,52987) = 1
LCM(52975,52987) = ( 52975 × 52987) / 1
LCM(52975,52987) = 2806986325 / 1
LCM(52975,52987) = 2806986325

Least Common Multiple (LCM) of 52975 and 52987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52975 and 52987. First we will calculate the prime factors of 52975 and 52987.

Prime Factorization of 52975

Prime factors of 52975 are 5, 13, 163. Prime factorization of 52975 in exponential form is:

52975 = 52 × 131 × 1631

Prime Factorization of 52987

Prime factors of 52987 are 11, 4817. Prime factorization of 52987 in exponential form is:

52987 = 111 × 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 52975 and 52987.

LCM(52975,52987) = 52 × 131 × 1631 × 111 × 48171
LCM(52975,52987) = 2806986325