What is the Least Common Multiple of 1647 and 1666?

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 of 1647 and 1666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1647 and 1666, than apply into the LCM equation.

GCF(1647,1666) = 1
LCM(1647,1666) = ( 1647 × 1666) / 1
LCM(1647,1666) = 2743902 / 1
LCM(1647,1666) = 2743902

Least Common Multiple (LCM) of 1647 and 1666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1647 and 1666. First we will calculate the prime factors of 1647 and 1666.

Prime Factorization of 1647

Prime Factorization of 1666

Now multiplying the highest exponent prime factors to calculate the LCM of 1647 and 1666.

LCM(1647,1666) = 3³ × 61¹ × 2¹ × 7² × 17¹
LCM(1647,1666) = 2743902