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What is the Least Common Multiple of 64911 and 64917?

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 64911 and 64917 is 1404609129.

LCM(64911,64917) = 1404609129

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Least Common Multiple of 64911 and 64917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64911 and 64917, than apply into the LCM equation.

GCF(64911,64917) = 3
LCM(64911,64917) = ( 64911 × 64917) / 3
LCM(64911,64917) = 4213827387 / 3
LCM(64911,64917) = 1404609129

Least Common Multiple (LCM) of 64911 and 64917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64911 and 64917. First we will calculate the prime factors of 64911 and 64917.

Prime Factorization of 64911

Prime factors of 64911 are 3, 7, 11, 281. Prime factorization of 64911 in exponential form is:

64911 = 31 × 71 × 111 × 2811

Prime Factorization of 64917

Prime factors of 64917 are 3, 7213. Prime factorization of 64917 in exponential form is:

64917 = 32 × 72131

Now multiplying the highest exponent prime factors to calculate the LCM of 64911 and 64917.

LCM(64911,64917) = 32 × 71 × 111 × 2811 × 72131
LCM(64911,64917) = 1404609129