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What is the Least Common Multiple of 64018 and 64031?

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 64018 and 64031 is 4099136558.

LCM(64018,64031) = 4099136558

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Least Common Multiple of 64018 and 64031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64018 and 64031, than apply into the LCM equation.

GCF(64018,64031) = 1
LCM(64018,64031) = ( 64018 × 64031) / 1
LCM(64018,64031) = 4099136558 / 1
LCM(64018,64031) = 4099136558

Least Common Multiple (LCM) of 64018 and 64031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64018 and 64031. First we will calculate the prime factors of 64018 and 64031.

Prime Factorization of 64018

Prime factors of 64018 are 2, 32009. Prime factorization of 64018 in exponential form is:

64018 = 21 × 320091

Prime Factorization of 64031

Prime factors of 64031 are 11, 5821. Prime factorization of 64031 in exponential form is:

64031 = 111 × 58211

Now multiplying the highest exponent prime factors to calculate the LCM of 64018 and 64031.

LCM(64018,64031) = 21 × 320091 × 111 × 58211
LCM(64018,64031) = 4099136558