What is the Least Common Multiple of 61613 and 61617?

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 61613 and 61617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61613 and 61617, than apply into the LCM equation.

GCF(61613,61617) = 1
LCM(61613,61617) = ( 61613 × 61617) / 1
LCM(61613,61617) = 3796408221 / 1
LCM(61613,61617) = 3796408221

Least Common Multiple (LCM) of 61613 and 61617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61613 and 61617. First we will calculate the prime factors of 61613 and 61617.

Prime Factorization of 61613

Prime Factorization of 61617

Now multiplying the highest exponent prime factors to calculate the LCM of 61613 and 61617.

LCM(61613,61617) = 61613¹ × 3¹ × 19¹ × 23¹ × 47¹
LCM(61613,61617) = 3796408221