What is the Least Common Multiple of 41617 and 41634?

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 41617 and 41634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41617 and 41634, than apply into the LCM equation.

GCF(41617,41634) = 1
LCM(41617,41634) = ( 41617 × 41634) / 1
LCM(41617,41634) = 1732682178 / 1
LCM(41617,41634) = 1732682178

Least Common Multiple (LCM) of 41617 and 41634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41617 and 41634. First we will calculate the prime factors of 41617 and 41634.

Prime Factorization of 41617

Prime Factorization of 41634

Now multiplying the highest exponent prime factors to calculate the LCM of 41617 and 41634.

LCM(41617,41634) = 41617¹ × 2¹ × 3⁴ × 257¹
LCM(41617,41634) = 1732682178