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What is the Least Common Multiple of 1646 and 1664?

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 1646 and 1664 is 1369472.

LCM(1646,1664) = 1369472

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Least Common Multiple of 1646 and 1664 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1646 and 1664, than apply into the LCM equation.

GCF(1646,1664) = 2
LCM(1646,1664) = ( 1646 × 1664) / 2
LCM(1646,1664) = 2738944 / 2
LCM(1646,1664) = 1369472

Least Common Multiple (LCM) of 1646 and 1664 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1646 and 1664. First we will calculate the prime factors of 1646 and 1664.

Prime Factorization of 1646

Prime factors of 1646 are 2, 823. Prime factorization of 1646 in exponential form is:

1646 = 21 × 8231

Prime Factorization of 1664

Prime factors of 1664 are 2, 13. Prime factorization of 1664 in exponential form is:

1664 = 27 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1646 and 1664.

LCM(1646,1664) = 27 × 8231 × 131
LCM(1646,1664) = 1369472