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What is the Least Common Multiple of 1626 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 1626 and 1636 is 1330068.

LCM(1626,1636) = 1330068

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Least Common Multiple of 1626 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 1626 and 1636, than apply into the LCM equation.

GCF(1626,1636) = 2
LCM(1626,1636) = ( 1626 × 1636) / 2
LCM(1626,1636) = 2660136 / 2
LCM(1626,1636) = 1330068

Least Common Multiple (LCM) of 1626 and 1636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1626 and 1636. First we will calculate the prime factors of 1626 and 1636.

Prime Factorization of 1626

Prime factors of 1626 are 2, 3, 271. Prime factorization of 1626 in exponential form is:

1626 = 21 × 31 × 2711

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 1626 and 1636.

LCM(1626,1636) = 22 × 31 × 2711 × 4091
LCM(1626,1636) = 1330068