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What is the Least Common Multiple of 64355 and 64374?

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 64355 and 64374 is 4142788770.

LCM(64355,64374) = 4142788770

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Least Common Multiple of 64355 and 64374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64355 and 64374, than apply into the LCM equation.

GCF(64355,64374) = 1
LCM(64355,64374) = ( 64355 × 64374) / 1
LCM(64355,64374) = 4142788770 / 1
LCM(64355,64374) = 4142788770

Least Common Multiple (LCM) of 64355 and 64374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64355 and 64374. First we will calculate the prime factors of 64355 and 64374.

Prime Factorization of 64355

Prime factors of 64355 are 5, 61, 211. Prime factorization of 64355 in exponential form is:

64355 = 51 × 611 × 2111

Prime Factorization of 64374

Prime factors of 64374 are 2, 3, 10729. Prime factorization of 64374 in exponential form is:

64374 = 21 × 31 × 107291

Now multiplying the highest exponent prime factors to calculate the LCM of 64355 and 64374.

LCM(64355,64374) = 51 × 611 × 2111 × 21 × 31 × 107291
LCM(64355,64374) = 4142788770