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What is the Least Common Multiple of 63006 and 63018?

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 63006 and 63018 is 661752018.

LCM(63006,63018) = 661752018

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Least Common Multiple of 63006 and 63018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63006 and 63018, than apply into the LCM equation.

GCF(63006,63018) = 6
LCM(63006,63018) = ( 63006 × 63018) / 6
LCM(63006,63018) = 3970512108 / 6
LCM(63006,63018) = 661752018

Least Common Multiple (LCM) of 63006 and 63018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63006 and 63018. First we will calculate the prime factors of 63006 and 63018.

Prime Factorization of 63006

Prime factors of 63006 are 2, 3, 10501. Prime factorization of 63006 in exponential form is:

63006 = 21 × 31 × 105011

Prime Factorization of 63018

Prime factors of 63018 are 2, 3, 389. Prime factorization of 63018 in exponential form is:

63018 = 21 × 34 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 63006 and 63018.

LCM(63006,63018) = 21 × 34 × 105011 × 3891
LCM(63006,63018) = 661752018