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What is the Least Common Multiple of 64368 and 64372?

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 64368 and 64372 is 1035874224.

LCM(64368,64372) = 1035874224

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Least Common Multiple of 64368 and 64372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64368 and 64372, than apply into the LCM equation.

GCF(64368,64372) = 4
LCM(64368,64372) = ( 64368 × 64372) / 4
LCM(64368,64372) = 4143496896 / 4
LCM(64368,64372) = 1035874224

Least Common Multiple (LCM) of 64368 and 64372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64368 and 64372. First we will calculate the prime factors of 64368 and 64372.

Prime Factorization of 64368

Prime factors of 64368 are 2, 3, 149. Prime factorization of 64368 in exponential form is:

64368 = 24 × 33 × 1491

Prime Factorization of 64372

Prime factors of 64372 are 2, 7, 11, 19. Prime factorization of 64372 in exponential form is:

64372 = 22 × 71 × 112 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 64368 and 64372.

LCM(64368,64372) = 24 × 33 × 1491 × 71 × 112 × 191
LCM(64368,64372) = 1035874224