What is the Least Common Multiple of 43686 and 43692?

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 43686 and 43692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43686 and 43692, than apply into the LCM equation.

GCF(43686,43692) = 6
LCM(43686,43692) = ( 43686 × 43692) / 6
LCM(43686,43692) = 1908728712 / 6
LCM(43686,43692) = 318121452

Least Common Multiple (LCM) of 43686 and 43692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43686 and 43692. First we will calculate the prime factors of 43686 and 43692.

Prime Factorization of 43686

Prime Factorization of 43692

Now multiplying the highest exponent prime factors to calculate the LCM of 43686 and 43692.

LCM(43686,43692) = 2² × 3³ × 809¹ × 11¹ × 331¹
LCM(43686,43692) = 318121452