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What is the Least Common Multiple of 16620 and 16632?

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 16620 and 16632 is 23035320.

LCM(16620,16632) = 23035320

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Least Common Multiple of 16620 and 16632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16620 and 16632, than apply into the LCM equation.

GCF(16620,16632) = 12
LCM(16620,16632) = ( 16620 × 16632) / 12
LCM(16620,16632) = 276423840 / 12
LCM(16620,16632) = 23035320

Least Common Multiple (LCM) of 16620 and 16632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16620 and 16632. First we will calculate the prime factors of 16620 and 16632.

Prime Factorization of 16620

Prime factors of 16620 are 2, 3, 5, 277. Prime factorization of 16620 in exponential form is:

16620 = 22 × 31 × 51 × 2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 16620 and 16632.

LCM(16620,16632) = 23 × 33 × 51 × 2771 × 71 × 111
LCM(16620,16632) = 23035320