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What is the Least Common Multiple of 66672 and 66689?

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 66672 and 66689 is 4446289008.

LCM(66672,66689) = 4446289008

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Least Common Multiple of 66672 and 66689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66672 and 66689, than apply into the LCM equation.

GCF(66672,66689) = 1
LCM(66672,66689) = ( 66672 × 66689) / 1
LCM(66672,66689) = 4446289008 / 1
LCM(66672,66689) = 4446289008

Least Common Multiple (LCM) of 66672 and 66689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66672 and 66689. First we will calculate the prime factors of 66672 and 66689.

Prime Factorization of 66672

Prime factors of 66672 are 2, 3, 463. Prime factorization of 66672 in exponential form is:

66672 = 24 × 32 × 4631

Prime Factorization of 66689

Prime factors of 66689 are 7, 1361. Prime factorization of 66689 in exponential form is:

66689 = 72 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 66672 and 66689.

LCM(66672,66689) = 24 × 32 × 4631 × 72 × 13611
LCM(66672,66689) = 4446289008