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What is the Least Common Multiple of 16700 and 16720?

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 16700 and 16720 is 13961200.

LCM(16700,16720) = 13961200

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Least Common Multiple of 16700 and 16720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16700 and 16720, than apply into the LCM equation.

GCF(16700,16720) = 20
LCM(16700,16720) = ( 16700 × 16720) / 20
LCM(16700,16720) = 279224000 / 20
LCM(16700,16720) = 13961200

Least Common Multiple (LCM) of 16700 and 16720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16700 and 16720. First we will calculate the prime factors of 16700 and 16720.

Prime Factorization of 16700

Prime factors of 16700 are 2, 5, 167. Prime factorization of 16700 in exponential form is:

16700 = 22 × 52 × 1671

Prime Factorization of 16720

Prime factors of 16720 are 2, 5, 11, 19. Prime factorization of 16720 in exponential form is:

16720 = 24 × 51 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 16700 and 16720.

LCM(16700,16720) = 24 × 52 × 1671 × 111 × 191
LCM(16700,16720) = 13961200