What is the Least Common Multiple of 41919 and 41938?

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 41919 and 41938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41919 and 41938, than apply into the LCM equation.

GCF(41919,41938) = 1
LCM(41919,41938) = ( 41919 × 41938) / 1
LCM(41919,41938) = 1757999022 / 1
LCM(41919,41938) = 1757999022

Least Common Multiple (LCM) of 41919 and 41938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41919 and 41938. First we will calculate the prime factors of 41919 and 41938.

Prime Factorization of 41919

Prime Factorization of 41938

Now multiplying the highest exponent prime factors to calculate the LCM of 41919 and 41938.

LCM(41919,41938) = 3¹ × 89¹ × 157¹ × 2¹ × 13¹ × 1613¹
LCM(41919,41938) = 1757999022