What is the Least Common Multiple of 41072 and 41084?

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 41072 and 41084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41072 and 41084, than apply into the LCM equation.

GCF(41072,41084) = 4
LCM(41072,41084) = ( 41072 × 41084) / 4
LCM(41072,41084) = 1687402048 / 4
LCM(41072,41084) = 421850512

Least Common Multiple (LCM) of 41072 and 41084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41072 and 41084. First we will calculate the prime factors of 41072 and 41084.

Prime Factorization of 41072

Prime Factorization of 41084

Now multiplying the highest exponent prime factors to calculate the LCM of 41072 and 41084.

LCM(41072,41084) = 2⁴ × 17¹ × 151¹ × 10271¹
LCM(41072,41084) = 421850512