What is the Least Common Multiple of 67609 and 67617?

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 67609 and 67617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67609 and 67617, than apply into the LCM equation.

GCF(67609,67617) = 1
LCM(67609,67617) = ( 67609 × 67617) / 1
LCM(67609,67617) = 4571517753 / 1
LCM(67609,67617) = 4571517753

Least Common Multiple (LCM) of 67609 and 67617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67609 and 67617. First we will calculate the prime factors of 67609 and 67617.

Prime Factorization of 67609

Prime Factorization of 67617

Now multiplying the highest exponent prime factors to calculate the LCM of 67609 and 67617.

LCM(67609,67617) = 17¹ × 41¹ × 97¹ × 3² × 11¹ × 683¹
LCM(67609,67617) = 4571517753