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What is the Least Common Multiple of 64369 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 64369 and 64374 is 4143690006.

LCM(64369,64374) = 4143690006

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Least Common Multiple of 64369 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 64369 and 64374, than apply into the LCM equation.

GCF(64369,64374) = 1
LCM(64369,64374) = ( 64369 × 64374) / 1
LCM(64369,64374) = 4143690006 / 1
LCM(64369,64374) = 4143690006

Least Common Multiple (LCM) of 64369 and 64374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64369 and 64374. First we will calculate the prime factors of 64369 and 64374.

Prime Factorization of 64369

Prime factors of 64369 are 59, 1091. Prime factorization of 64369 in exponential form is:

64369 = 591 × 10911

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 64369 and 64374.

LCM(64369,64374) = 591 × 10911 × 21 × 31 × 107291
LCM(64369,64374) = 4143690006