What is the Least Common Multiple of 43812 and 43827?

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 43827 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 43827, than apply into the LCM equation.

GCF(43812,43827) = 3
LCM(43812,43827) = ( 43812 × 43827) / 3
LCM(43812,43827) = 1920148524 / 3
LCM(43812,43827) = 640049508

Least Common Multiple (LCM) of 43812 and 43827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43812 and 43827. First we will calculate the prime factors of 43812 and 43827.

Prime Factorization of 43812

Prime Factorization of 43827

Now multiplying the highest exponent prime factors to calculate the LCM of 43812 and 43827.

LCM(43812,43827) = 2² × 3² × 1217¹ × 7¹ × 2087¹
LCM(43812,43827) = 640049508