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What is the Least Common Multiple of 87937 and 87951?

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 87937 and 87951 is 7734147087.

LCM(87937,87951) = 7734147087

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Least Common Multiple of 87937 and 87951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87937 and 87951, than apply into the LCM equation.

GCF(87937,87951) = 1
LCM(87937,87951) = ( 87937 × 87951) / 1
LCM(87937,87951) = 7734147087 / 1
LCM(87937,87951) = 7734147087

Least Common Multiple (LCM) of 87937 and 87951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87937 and 87951. First we will calculate the prime factors of 87937 and 87951.

Prime Factorization of 87937

Prime factors of 87937 are 47, 1871. Prime factorization of 87937 in exponential form is:

87937 = 471 × 18711

Prime Factorization of 87951

Prime factors of 87951 are 3, 19, 1543. Prime factorization of 87951 in exponential form is:

87951 = 31 × 191 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 87937 and 87951.

LCM(87937,87951) = 471 × 18711 × 31 × 191 × 15431
LCM(87937,87951) = 7734147087