What is the Least Common Multiple of 61026 and 61041?

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 61026 and 61041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61026 and 61041, than apply into the LCM equation.

GCF(61026,61041) = 3
LCM(61026,61041) = ( 61026 × 61041) / 3
LCM(61026,61041) = 3725088066 / 3
LCM(61026,61041) = 1241696022

Least Common Multiple (LCM) of 61026 and 61041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61026 and 61041. First we will calculate the prime factors of 61026 and 61041.

Prime Factorization of 61026

Prime Factorization of 61041

Now multiplying the highest exponent prime factors to calculate the LCM of 61026 and 61041.

LCM(61026,61041) = 2¹ × 3¹ × 7¹ × 1453¹ × 20347¹
LCM(61026,61041) = 1241696022