What is the Least Common Multiple of 41052 and 41070?

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 41070 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 41070, than apply into the LCM equation.

GCF(41052,41070) = 6
LCM(41052,41070) = ( 41052 × 41070) / 6
LCM(41052,41070) = 1686005640 / 6
LCM(41052,41070) = 281000940

Least Common Multiple (LCM) of 41052 and 41070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41052 and 41070. First we will calculate the prime factors of 41052 and 41070.

Prime Factorization of 41052

Prime Factorization of 41070

Now multiplying the highest exponent prime factors to calculate the LCM of 41052 and 41070.

LCM(41052,41070) = 2² × 3¹ × 11¹ × 311¹ × 5¹ × 37²
LCM(41052,41070) = 281000940