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What is the Least Common Multiple of 64292 and 64302?

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 64292 and 64302 is 2067052092.

LCM(64292,64302) = 2067052092

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Least Common Multiple of 64292 and 64302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64292 and 64302, than apply into the LCM equation.

GCF(64292,64302) = 2
LCM(64292,64302) = ( 64292 × 64302) / 2
LCM(64292,64302) = 4134104184 / 2
LCM(64292,64302) = 2067052092

Least Common Multiple (LCM) of 64292 and 64302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64292 and 64302. First we will calculate the prime factors of 64292 and 64302.

Prime Factorization of 64292

Prime factors of 64292 are 2, 16073. Prime factorization of 64292 in exponential form is:

64292 = 22 × 160731

Prime Factorization of 64302

Prime factors of 64302 are 2, 3, 7, 1531. Prime factorization of 64302 in exponential form is:

64302 = 21 × 31 × 71 × 15311

Now multiplying the highest exponent prime factors to calculate the LCM of 64292 and 64302.

LCM(64292,64302) = 22 × 160731 × 31 × 71 × 15311
LCM(64292,64302) = 2067052092