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What is the Least Common Multiple of 16632 and 16638?

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 16632 and 16638 is 46120536.

LCM(16632,16638) = 46120536

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Least Common Multiple of 16632 and 16638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16632 and 16638, than apply into the LCM equation.

GCF(16632,16638) = 6
LCM(16632,16638) = ( 16632 × 16638) / 6
LCM(16632,16638) = 276723216 / 6
LCM(16632,16638) = 46120536

Least Common Multiple (LCM) of 16632 and 16638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16632 and 16638. First we will calculate the prime factors of 16632 and 16638.

Prime Factorization of 16632

Prime factors of 16632 are 2, 3, 7, 11. Prime factorization of 16632 in exponential form is:

16632 = 23 × 33 × 71 × 111

Prime Factorization of 16638

Prime factors of 16638 are 2, 3, 47, 59. Prime factorization of 16638 in exponential form is:

16638 = 21 × 31 × 471 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 16632 and 16638.

LCM(16632,16638) = 23 × 33 × 71 × 111 × 471 × 591
LCM(16632,16638) = 46120536