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What is the Least Common Multiple of 16653 and 16657?

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 16653 and 16657 is 277389021.

LCM(16653,16657) = 277389021

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Least Common Multiple of 16653 and 16657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16653 and 16657, than apply into the LCM equation.

GCF(16653,16657) = 1
LCM(16653,16657) = ( 16653 × 16657) / 1
LCM(16653,16657) = 277389021 / 1
LCM(16653,16657) = 277389021

Least Common Multiple (LCM) of 16653 and 16657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16653 and 16657. First we will calculate the prime factors of 16653 and 16657.

Prime Factorization of 16653

Prime factors of 16653 are 3, 7, 13, 61. Prime factorization of 16653 in exponential form is:

16653 = 31 × 71 × 131 × 611

Prime Factorization of 16657

Prime factors of 16657 are 16657. Prime factorization of 16657 in exponential form is:

16657 = 166571

Now multiplying the highest exponent prime factors to calculate the LCM of 16653 and 16657.

LCM(16653,16657) = 31 × 71 × 131 × 611 × 166571
LCM(16653,16657) = 277389021