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What is the Least Common Multiple of 36877 and 36895?

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 36877 and 36895 is 1360576915.

LCM(36877,36895) = 1360576915

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Least Common Multiple of 36877 and 36895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36877 and 36895, than apply into the LCM equation.

GCF(36877,36895) = 1
LCM(36877,36895) = ( 36877 × 36895) / 1
LCM(36877,36895) = 1360576915 / 1
LCM(36877,36895) = 1360576915

Least Common Multiple (LCM) of 36877 and 36895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36877 and 36895. First we will calculate the prime factors of 36877 and 36895.

Prime Factorization of 36877

Prime factors of 36877 are 36877. Prime factorization of 36877 in exponential form is:

36877 = 368771

Prime Factorization of 36895

Prime factors of 36895 are 5, 47, 157. Prime factorization of 36895 in exponential form is:

36895 = 51 × 471 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 36877 and 36895.

LCM(36877,36895) = 368771 × 51 × 471 × 1571
LCM(36877,36895) = 1360576915