What is the Least Common Multiple of 43794 and 43812?

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 43794 and 43812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43794 and 43812, than apply into the LCM equation.

GCF(43794,43812) = 18
LCM(43794,43812) = ( 43794 × 43812) / 18
LCM(43794,43812) = 1918702728 / 18
LCM(43794,43812) = 106594596

Least Common Multiple (LCM) of 43794 and 43812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43794 and 43812. First we will calculate the prime factors of 43794 and 43812.

Prime Factorization of 43794

Prime Factorization of 43812

Now multiplying the highest exponent prime factors to calculate the LCM of 43794 and 43812.

LCM(43794,43812) = 2² × 3³ × 811¹ × 1217¹
LCM(43794,43812) = 106594596