What is the Least Common Multiple of 41952 and 41960?

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 41960 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 41960, than apply into the LCM equation.

GCF(41952,41960) = 8
LCM(41952,41960) = ( 41952 × 41960) / 8
LCM(41952,41960) = 1760305920 / 8
LCM(41952,41960) = 220038240

Least Common Multiple (LCM) of 41952 and 41960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41952 and 41960. First we will calculate the prime factors of 41952 and 41960.

Prime Factorization of 41952

Prime Factorization of 41960

Now multiplying the highest exponent prime factors to calculate the LCM of 41952 and 41960.

LCM(41952,41960) = 2⁵ × 3¹ × 19¹ × 23¹ × 5¹ × 1049¹
LCM(41952,41960) = 220038240