What is the Least Common Multiple of 45942 and 45959?

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 45942 and 45959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45942 and 45959, than apply into the LCM equation.

GCF(45942,45959) = 1
LCM(45942,45959) = ( 45942 × 45959) / 1
LCM(45942,45959) = 2111448378 / 1
LCM(45942,45959) = 2111448378

Least Common Multiple (LCM) of 45942 and 45959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45942 and 45959. First we will calculate the prime factors of 45942 and 45959.

Prime Factorization of 45942

Prime Factorization of 45959

Now multiplying the highest exponent prime factors to calculate the LCM of 45942 and 45959.

LCM(45942,45959) = 2¹ × 3¹ × 13¹ × 19¹ × 31¹ × 45959¹
LCM(45942,45959) = 2111448378