What is the Least Common Multiple of 41954 and 41962?

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 41954 and 41962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41954 and 41962, than apply into the LCM equation.

GCF(41954,41962) = 2
LCM(41954,41962) = ( 41954 × 41962) / 2
LCM(41954,41962) = 1760473748 / 2
LCM(41954,41962) = 880236874

Least Common Multiple (LCM) of 41954 and 41962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41954 and 41962. First we will calculate the prime factors of 41954 and 41962.

Prime Factorization of 41954

Prime Factorization of 41962

Now multiplying the highest exponent prime factors to calculate the LCM of 41954 and 41962.

LCM(41954,41962) = 2¹ × 11¹ × 1907¹ × 20981¹
LCM(41954,41962) = 880236874