What is the Least Common Multiple of 41952 and 41970?

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 41970 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 41970, than apply into the LCM equation.

GCF(41952,41970) = 6
LCM(41952,41970) = ( 41952 × 41970) / 6
LCM(41952,41970) = 1760725440 / 6
LCM(41952,41970) = 293454240

Least Common Multiple (LCM) of 41952 and 41970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41952 and 41970. First we will calculate the prime factors of 41952 and 41970.

Prime Factorization of 41952

Prime Factorization of 41970

Now multiplying the highest exponent prime factors to calculate the LCM of 41952 and 41970.

LCM(41952,41970) = 2⁵ × 3¹ × 19¹ × 23¹ × 5¹ × 1399¹
LCM(41952,41970) = 293454240