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What is the Least Common Multiple of 64360 and 64370?

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 64360 and 64370 is 414285320.

LCM(64360,64370) = 414285320

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Least Common Multiple of 64360 and 64370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64360 and 64370, than apply into the LCM equation.

GCF(64360,64370) = 10
LCM(64360,64370) = ( 64360 × 64370) / 10
LCM(64360,64370) = 4142853200 / 10
LCM(64360,64370) = 414285320

Least Common Multiple (LCM) of 64360 and 64370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64360 and 64370. First we will calculate the prime factors of 64360 and 64370.

Prime Factorization of 64360

Prime factors of 64360 are 2, 5, 1609. Prime factorization of 64360 in exponential form is:

64360 = 23 × 51 × 16091

Prime Factorization of 64370

Prime factors of 64370 are 2, 5, 41, 157. Prime factorization of 64370 in exponential form is:

64370 = 21 × 51 × 411 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 64360 and 64370.

LCM(64360,64370) = 23 × 51 × 16091 × 411 × 1571
LCM(64360,64370) = 414285320