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What is the Least Common Multiple of 64422 and 64435?

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 64422 and 64435 is 4151031570.

LCM(64422,64435) = 4151031570

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Least Common Multiple of 64422 and 64435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64422 and 64435, than apply into the LCM equation.

GCF(64422,64435) = 1
LCM(64422,64435) = ( 64422 × 64435) / 1
LCM(64422,64435) = 4151031570 / 1
LCM(64422,64435) = 4151031570

Least Common Multiple (LCM) of 64422 and 64435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64422 and 64435. First we will calculate the prime factors of 64422 and 64435.

Prime Factorization of 64422

Prime factors of 64422 are 2, 3, 1193. Prime factorization of 64422 in exponential form is:

64422 = 21 × 33 × 11931

Prime Factorization of 64435

Prime factors of 64435 are 5, 7, 263. Prime factorization of 64435 in exponential form is:

64435 = 51 × 72 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 64422 and 64435.

LCM(64422,64435) = 21 × 33 × 11931 × 51 × 72 × 2631
LCM(64422,64435) = 4151031570