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What is the Least Common Multiple of 16672 and 16690?

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 16672 and 16690 is 139127840.

LCM(16672,16690) = 139127840

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Least Common Multiple of 16672 and 16690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16672 and 16690, than apply into the LCM equation.

GCF(16672,16690) = 2
LCM(16672,16690) = ( 16672 × 16690) / 2
LCM(16672,16690) = 278255680 / 2
LCM(16672,16690) = 139127840

Least Common Multiple (LCM) of 16672 and 16690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16672 and 16690. First we will calculate the prime factors of 16672 and 16690.

Prime Factorization of 16672

Prime factors of 16672 are 2, 521. Prime factorization of 16672 in exponential form is:

16672 = 25 × 5211

Prime Factorization of 16690

Prime factors of 16690 are 2, 5, 1669. Prime factorization of 16690 in exponential form is:

16690 = 21 × 51 × 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 16672 and 16690.

LCM(16672,16690) = 25 × 5211 × 51 × 16691
LCM(16672,16690) = 139127840