What is the Least Common Multiple of 1610 and 1617?

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 1610 and 1617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1610 and 1617, than apply into the LCM equation.

GCF(1610,1617) = 7
LCM(1610,1617) = ( 1610 × 1617) / 7
LCM(1610,1617) = 2603370 / 7
LCM(1610,1617) = 371910

Least Common Multiple (LCM) of 1610 and 1617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1610 and 1617. First we will calculate the prime factors of 1610 and 1617.

Prime Factorization of 1610

Prime Factorization of 1617

Now multiplying the highest exponent prime factors to calculate the LCM of 1610 and 1617.

LCM(1610,1617) = 2¹ × 5¹ × 7² × 23¹ × 3¹ × 11¹
LCM(1610,1617) = 371910