What is the Least Common Multiple of 65604 and 65617?

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 65604 and 65617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65604 and 65617, than apply into the LCM equation.

GCF(65604,65617) = 1
LCM(65604,65617) = ( 65604 × 65617) / 1
LCM(65604,65617) = 4304737668 / 1
LCM(65604,65617) = 4304737668

Least Common Multiple (LCM) of 65604 and 65617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65604 and 65617. First we will calculate the prime factors of 65604 and 65617.

Prime Factorization of 65604

Prime Factorization of 65617

Now multiplying the highest exponent prime factors to calculate the LCM of 65604 and 65617.

LCM(65604,65617) = 2² × 3¹ × 7¹ × 11¹ × 71¹ × 65617¹
LCM(65604,65617) = 4304737668