What is the Least Common Multiple of 41914 and 41932?

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 41914 and 41932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41914 and 41932, than apply into the LCM equation.

GCF(41914,41932) = 2
LCM(41914,41932) = ( 41914 × 41932) / 2
LCM(41914,41932) = 1757537848 / 2
LCM(41914,41932) = 878768924

Least Common Multiple (LCM) of 41914 and 41932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41914 and 41932. First we will calculate the prime factors of 41914 and 41932.

Prime Factorization of 41914

Prime Factorization of 41932

Now multiplying the highest exponent prime factors to calculate the LCM of 41914 and 41932.

LCM(41914,41932) = 2² × 19¹ × 1103¹ × 11¹ × 953¹
LCM(41914,41932) = 878768924