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What is the Least Common Multiple of 64311 and 64315?

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 64311 and 64315 is 4136161965.

LCM(64311,64315) = 4136161965

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Least Common Multiple of 64311 and 64315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64311 and 64315, than apply into the LCM equation.

GCF(64311,64315) = 1
LCM(64311,64315) = ( 64311 × 64315) / 1
LCM(64311,64315) = 4136161965 / 1
LCM(64311,64315) = 4136161965

Least Common Multiple (LCM) of 64311 and 64315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64311 and 64315. First we will calculate the prime factors of 64311 and 64315.

Prime Factorization of 64311

Prime factors of 64311 are 3, 13, 17, 97. Prime factorization of 64311 in exponential form is:

64311 = 31 × 131 × 171 × 971

Prime Factorization of 64315

Prime factors of 64315 are 5, 19, 677. Prime factorization of 64315 in exponential form is:

64315 = 51 × 191 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 64311 and 64315.

LCM(64311,64315) = 31 × 131 × 171 × 971 × 51 × 191 × 6771
LCM(64311,64315) = 4136161965