What is the Least Common Multiple of 45926 and 45943?

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 45926 and 45943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45926 and 45943, than apply into the LCM equation.

GCF(45926,45943) = 1
LCM(45926,45943) = ( 45926 × 45943) / 1
LCM(45926,45943) = 2109978218 / 1
LCM(45926,45943) = 2109978218

Least Common Multiple (LCM) of 45926 and 45943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45926 and 45943. First we will calculate the prime factors of 45926 and 45943.

Prime Factorization of 45926

Prime Factorization of 45943

Now multiplying the highest exponent prime factors to calculate the LCM of 45926 and 45943.

LCM(45926,45943) = 2¹ × 22963¹ × 45943¹
LCM(45926,45943) = 2109978218