What is the Least Common Multiple of 41952 and 41971?

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 41952 and 41971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41952 and 41971, than apply into the LCM equation.

GCF(41952,41971) = 19
LCM(41952,41971) = ( 41952 × 41971) / 19
LCM(41952,41971) = 1760767392 / 19
LCM(41952,41971) = 92671968

Least Common Multiple (LCM) of 41952 and 41971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41952 and 41971. First we will calculate the prime factors of 41952 and 41971.

Prime Factorization of 41952

Prime Factorization of 41971

Now multiplying the highest exponent prime factors to calculate the LCM of 41952 and 41971.

LCM(41952,41971) = 2⁵ × 3¹ × 19¹ × 23¹ × 47²
LCM(41952,41971) = 92671968