What is the Least Common Multiple of 41928 and 41948?

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 41928 and 41948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41928 and 41948, than apply into the LCM equation.

GCF(41928,41948) = 4
LCM(41928,41948) = ( 41928 × 41948) / 4
LCM(41928,41948) = 1758795744 / 4
LCM(41928,41948) = 439698936

Least Common Multiple (LCM) of 41928 and 41948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41928 and 41948. First we will calculate the prime factors of 41928 and 41948.

Prime Factorization of 41928

Prime Factorization of 41948

Now multiplying the highest exponent prime factors to calculate the LCM of 41928 and 41948.

LCM(41928,41948) = 2³ × 3¹ × 1747¹ × 10487¹
LCM(41928,41948) = 439698936