What is the Least Common Multiple of 41052 and 41061?

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 41052 and 41061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41052 and 41061, than apply into the LCM equation.

GCF(41052,41061) = 3
LCM(41052,41061) = ( 41052 × 41061) / 3
LCM(41052,41061) = 1685636172 / 3
LCM(41052,41061) = 561878724

Least Common Multiple (LCM) of 41052 and 41061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41052 and 41061. First we will calculate the prime factors of 41052 and 41061.

Prime Factorization of 41052

Prime Factorization of 41061

Now multiplying the highest exponent prime factors to calculate the LCM of 41052 and 41061.

LCM(41052,41061) = 2² × 3¹ × 11¹ × 311¹ × 13687¹
LCM(41052,41061) = 561878724