What is the Least Common Multiple of 43812 and 43822?

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 43812 and 43822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43812 and 43822, than apply into the LCM equation.

GCF(43812,43822) = 2
LCM(43812,43822) = ( 43812 × 43822) / 2
LCM(43812,43822) = 1919929464 / 2
LCM(43812,43822) = 959964732

Least Common Multiple (LCM) of 43812 and 43822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43812 and 43822. First we will calculate the prime factors of 43812 and 43822.

Prime Factorization of 43812

Prime Factorization of 43822

Now multiplying the highest exponent prime factors to calculate the LCM of 43812 and 43822.

LCM(43812,43822) = 2² × 3² × 1217¹ × 21911¹
LCM(43812,43822) = 959964732