What is the Least Common Multiple of 77599 and 77617?

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 77599 and 77617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77599 and 77617, than apply into the LCM equation.

GCF(77599,77617) = 1
LCM(77599,77617) = ( 77599 × 77617) / 1
LCM(77599,77617) = 6023001583 / 1
LCM(77599,77617) = 6023001583

Least Common Multiple (LCM) of 77599 and 77617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77599 and 77617. First we will calculate the prime factors of 77599 and 77617.

Prime Factorization of 77599

Prime Factorization of 77617

Now multiplying the highest exponent prime factors to calculate the LCM of 77599 and 77617.

LCM(77599,77617) = 73¹ × 1063¹ × 77617¹
LCM(77599,77617) = 6023001583