What is the Least Common Multiple of 61093 and 61113?

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 61093 and 61113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61093 and 61113, than apply into the LCM equation.

GCF(61093,61113) = 1
LCM(61093,61113) = ( 61093 × 61113) / 1
LCM(61093,61113) = 3733576509 / 1
LCM(61093,61113) = 3733576509

Least Common Multiple (LCM) of 61093 and 61113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61093 and 61113. First we will calculate the prime factors of 61093 and 61113.

Prime Factorization of 61093

Prime Factorization of 61113

Now multiplying the highest exponent prime factors to calculate the LCM of 61093 and 61113.

LCM(61093,61113) = 199¹ × 307¹ × 3¹ × 13¹ × 1567¹
LCM(61093,61113) = 3733576509