What is the Least Common Multiple of 41418 and 41438?

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 41418 and 41438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41418 and 41438, than apply into the LCM equation.

GCF(41418,41438) = 2
LCM(41418,41438) = ( 41418 × 41438) / 2
LCM(41418,41438) = 1716279084 / 2
LCM(41418,41438) = 858139542

Least Common Multiple (LCM) of 41418 and 41438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41418 and 41438. First we will calculate the prime factors of 41418 and 41438.

Prime Factorization of 41418

Prime Factorization of 41438

Now multiplying the highest exponent prime factors to calculate the LCM of 41418 and 41438.

LCM(41418,41438) = 2¹ × 3³ × 13¹ × 59¹ × 20719¹
LCM(41418,41438) = 858139542