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What is the Least Common Multiple of 64738 and 64750?

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 64738 and 64750 is 2095892750.

LCM(64738,64750) = 2095892750

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Least Common Multiple of 64738 and 64750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64738 and 64750, than apply into the LCM equation.

GCF(64738,64750) = 2
LCM(64738,64750) = ( 64738 × 64750) / 2
LCM(64738,64750) = 4191785500 / 2
LCM(64738,64750) = 2095892750

Least Common Multiple (LCM) of 64738 and 64750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64738 and 64750. First we will calculate the prime factors of 64738 and 64750.

Prime Factorization of 64738

Prime factors of 64738 are 2, 32369. Prime factorization of 64738 in exponential form is:

64738 = 21 × 323691

Prime Factorization of 64750

Prime factors of 64750 are 2, 5, 7, 37. Prime factorization of 64750 in exponential form is:

64750 = 21 × 53 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 64738 and 64750.

LCM(64738,64750) = 21 × 323691 × 53 × 71 × 371
LCM(64738,64750) = 2095892750