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What is the Least Common Multiple of 64303 and 64310?

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 64303 and 64310 is 4135325930.

LCM(64303,64310) = 4135325930

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Least Common Multiple of 64303 and 64310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64303 and 64310, than apply into the LCM equation.

GCF(64303,64310) = 1
LCM(64303,64310) = ( 64303 × 64310) / 1
LCM(64303,64310) = 4135325930 / 1
LCM(64303,64310) = 4135325930

Least Common Multiple (LCM) of 64303 and 64310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64303 and 64310. First we will calculate the prime factors of 64303 and 64310.

Prime Factorization of 64303

Prime factors of 64303 are 64303. Prime factorization of 64303 in exponential form is:

64303 = 643031

Prime Factorization of 64310

Prime factors of 64310 are 2, 5, 59, 109. Prime factorization of 64310 in exponential form is:

64310 = 21 × 51 × 591 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 64303 and 64310.

LCM(64303,64310) = 643031 × 21 × 51 × 591 × 1091
LCM(64303,64310) = 4135325930