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What is the Least Common Multiple of 64412 and 64424?

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 64412 and 64424 is 1037419672.

LCM(64412,64424) = 1037419672

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Least Common Multiple of 64412 and 64424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64412 and 64424, than apply into the LCM equation.

GCF(64412,64424) = 4
LCM(64412,64424) = ( 64412 × 64424) / 4
LCM(64412,64424) = 4149678688 / 4
LCM(64412,64424) = 1037419672

Least Common Multiple (LCM) of 64412 and 64424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64412 and 64424. First we will calculate the prime factors of 64412 and 64424.

Prime Factorization of 64412

Prime factors of 64412 are 2, 16103. Prime factorization of 64412 in exponential form is:

64412 = 22 × 161031

Prime Factorization of 64424

Prime factors of 64424 are 2, 8053. Prime factorization of 64424 in exponential form is:

64424 = 23 × 80531

Now multiplying the highest exponent prime factors to calculate the LCM of 64412 and 64424.

LCM(64412,64424) = 23 × 161031 × 80531
LCM(64412,64424) = 1037419672