What is the Least Common Multiple of 61083 and 61097?

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 61083 and 61097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61083 and 61097, than apply into the LCM equation.

GCF(61083,61097) = 1
LCM(61083,61097) = ( 61083 × 61097) / 1
LCM(61083,61097) = 3731988051 / 1
LCM(61083,61097) = 3731988051

Least Common Multiple (LCM) of 61083 and 61097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61083 and 61097. First we will calculate the prime factors of 61083 and 61097.

Prime Factorization of 61083

Prime Factorization of 61097

Now multiplying the highest exponent prime factors to calculate the LCM of 61083 and 61097.

LCM(61083,61097) = 3² × 11¹ × 617¹ × 107¹ × 571¹
LCM(61083,61097) = 3731988051