What is the Least Common Multiple of 1617 and 1634?

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 1617 and 1634 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 1634, than apply into the LCM equation.

GCF(1617,1634) = 1
LCM(1617,1634) = ( 1617 × 1634) / 1
LCM(1617,1634) = 2642178 / 1
LCM(1617,1634) = 2642178

Least Common Multiple (LCM) of 1617 and 1634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1617 and 1634. First we will calculate the prime factors of 1617 and 1634.

Prime Factorization of 1617

Prime Factorization of 1634

Now multiplying the highest exponent prime factors to calculate the LCM of 1617 and 1634.

LCM(1617,1634) = 3¹ × 7² × 11¹ × 2¹ × 19¹ × 43¹
LCM(1617,1634) = 2642178