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What is the Least Common Multiple of 16616 and 16626?

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 16616 and 16626 is 138128808.

LCM(16616,16626) = 138128808

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Least Common Multiple of 16616 and 16626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16616 and 16626, than apply into the LCM equation.

GCF(16616,16626) = 2
LCM(16616,16626) = ( 16616 × 16626) / 2
LCM(16616,16626) = 276257616 / 2
LCM(16616,16626) = 138128808

Least Common Multiple (LCM) of 16616 and 16626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16616 and 16626. First we will calculate the prime factors of 16616 and 16626.

Prime Factorization of 16616

Prime factors of 16616 are 2, 31, 67. Prime factorization of 16616 in exponential form is:

16616 = 23 × 311 × 671

Prime Factorization of 16626

Prime factors of 16626 are 2, 3, 17, 163. Prime factorization of 16626 in exponential form is:

16626 = 21 × 31 × 171 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 16616 and 16626.

LCM(16616,16626) = 23 × 311 × 671 × 31 × 171 × 1631
LCM(16616,16626) = 138128808