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What is the Least Common Multiple of 64298 and 64316?

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 64298 and 64316 is 2067695084.

LCM(64298,64316) = 2067695084

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Least Common Multiple of 64298 and 64316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64298 and 64316, than apply into the LCM equation.

GCF(64298,64316) = 2
LCM(64298,64316) = ( 64298 × 64316) / 2
LCM(64298,64316) = 4135390168 / 2
LCM(64298,64316) = 2067695084

Least Common Multiple (LCM) of 64298 and 64316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64298 and 64316. First we will calculate the prime factors of 64298 and 64316.

Prime Factorization of 64298

Prime factors of 64298 are 2, 13, 2473. Prime factorization of 64298 in exponential form is:

64298 = 21 × 131 × 24731

Prime Factorization of 64316

Prime factors of 64316 are 2, 7, 2297. Prime factorization of 64316 in exponential form is:

64316 = 22 × 71 × 22971

Now multiplying the highest exponent prime factors to calculate the LCM of 64298 and 64316.

LCM(64298,64316) = 22 × 131 × 24731 × 71 × 22971
LCM(64298,64316) = 2067695084