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What is the Least Common Multiple of 64430 and 64436?

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 64430 and 64436 is 2075805740.

LCM(64430,64436) = 2075805740

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Least Common Multiple of 64430 and 64436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64430 and 64436, than apply into the LCM equation.

GCF(64430,64436) = 2
LCM(64430,64436) = ( 64430 × 64436) / 2
LCM(64430,64436) = 4151611480 / 2
LCM(64430,64436) = 2075805740

Least Common Multiple (LCM) of 64430 and 64436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64430 and 64436. First we will calculate the prime factors of 64430 and 64436.

Prime Factorization of 64430

Prime factors of 64430 are 2, 5, 17, 379. Prime factorization of 64430 in exponential form is:

64430 = 21 × 51 × 171 × 3791

Prime Factorization of 64436

Prime factors of 64436 are 2, 89, 181. Prime factorization of 64436 in exponential form is:

64436 = 22 × 891 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 64430 and 64436.

LCM(64430,64436) = 22 × 51 × 171 × 3791 × 891 × 1811
LCM(64430,64436) = 2075805740