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What is the Least Common Multiple of 1617 and 1626?

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 1617 and 1626 is 876414.

LCM(1617,1626) = 876414

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Least Common Multiple of 1617 and 1626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1617 and 1626, than apply into the LCM equation.

GCF(1617,1626) = 3
LCM(1617,1626) = ( 1617 × 1626) / 3
LCM(1617,1626) = 2629242 / 3
LCM(1617,1626) = 876414

Least Common Multiple (LCM) of 1617 and 1626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1617 and 1626. First we will calculate the prime factors of 1617 and 1626.

Prime Factorization of 1617

Prime factors of 1617 are 3, 7, 11. Prime factorization of 1617 in exponential form is:

1617 = 31 × 72 × 111

Prime Factorization of 1626

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

1626 = 21 × 31 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1617 and 1626.

LCM(1617,1626) = 31 × 72 × 111 × 21 × 2711
LCM(1617,1626) = 876414