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What is the Least Common Multiple of 15862 and 15877?

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 15862 and 15877 is 251840974.

LCM(15862,15877) = 251840974

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Least Common Multiple of 15862 and 15877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15862 and 15877, than apply into the LCM equation.

GCF(15862,15877) = 1
LCM(15862,15877) = ( 15862 × 15877) / 1
LCM(15862,15877) = 251840974 / 1
LCM(15862,15877) = 251840974

Least Common Multiple (LCM) of 15862 and 15877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15862 and 15877. First we will calculate the prime factors of 15862 and 15877.

Prime Factorization of 15862

Prime factors of 15862 are 2, 7, 11, 103. Prime factorization of 15862 in exponential form is:

15862 = 21 × 71 × 111 × 1031

Prime Factorization of 15877

Prime factors of 15877 are 15877. Prime factorization of 15877 in exponential form is:

15877 = 158771

Now multiplying the highest exponent prime factors to calculate the LCM of 15862 and 15877.

LCM(15862,15877) = 21 × 71 × 111 × 1031 × 158771
LCM(15862,15877) = 251840974