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What is the Least Common Multiple of 1632 and 1636?

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 1632 and 1636 is 667488.

LCM(1632,1636) = 667488

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Least Common Multiple of 1632 and 1636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1632 and 1636, than apply into the LCM equation.

GCF(1632,1636) = 4
LCM(1632,1636) = ( 1632 × 1636) / 4
LCM(1632,1636) = 2669952 / 4
LCM(1632,1636) = 667488

Least Common Multiple (LCM) of 1632 and 1636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1632 and 1636. First we will calculate the prime factors of 1632 and 1636.

Prime Factorization of 1632

Prime factors of 1632 are 2, 3, 17. Prime factorization of 1632 in exponential form is:

1632 = 25 × 31 × 171

Prime Factorization of 1636

Prime factors of 1636 are 2, 409. Prime factorization of 1636 in exponential form is:

1636 = 22 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 1632 and 1636.

LCM(1632,1636) = 25 × 31 × 171 × 4091
LCM(1632,1636) = 667488