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What is the Least Common Multiple of 16650 and 16664?

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 16650 and 16664 is 138727800.

LCM(16650,16664) = 138727800

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Least Common Multiple of 16650 and 16664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16650 and 16664, than apply into the LCM equation.

GCF(16650,16664) = 2
LCM(16650,16664) = ( 16650 × 16664) / 2
LCM(16650,16664) = 277455600 / 2
LCM(16650,16664) = 138727800

Least Common Multiple (LCM) of 16650 and 16664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16650 and 16664. First we will calculate the prime factors of 16650 and 16664.

Prime Factorization of 16650

Prime factors of 16650 are 2, 3, 5, 37. Prime factorization of 16650 in exponential form is:

16650 = 21 × 32 × 52 × 371

Prime Factorization of 16664

Prime factors of 16664 are 2, 2083. Prime factorization of 16664 in exponential form is:

16664 = 23 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 16650 and 16664.

LCM(16650,16664) = 23 × 32 × 52 × 371 × 20831
LCM(16650,16664) = 138727800