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What is the Least Common Multiple of 64302 and 64314?

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 64302 and 64314 is 689253138.

LCM(64302,64314) = 689253138

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Least Common Multiple of 64302 and 64314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64302 and 64314, than apply into the LCM equation.

GCF(64302,64314) = 6
LCM(64302,64314) = ( 64302 × 64314) / 6
LCM(64302,64314) = 4135518828 / 6
LCM(64302,64314) = 689253138

Least Common Multiple (LCM) of 64302 and 64314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64302 and 64314. First we will calculate the prime factors of 64302 and 64314.

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

Prime Factorization of 64314

Prime factors of 64314 are 2, 3, 397. Prime factorization of 64314 in exponential form is:

64314 = 21 × 34 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 64302 and 64314.

LCM(64302,64314) = 21 × 34 × 71 × 15311 × 3971
LCM(64302,64314) = 689253138