What is the Least Common Multiple of 43278 and 43284?

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 43278 and 43284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43278 and 43284, than apply into the LCM equation.

GCF(43278,43284) = 6
LCM(43278,43284) = ( 43278 × 43284) / 6
LCM(43278,43284) = 1873244952 / 6
LCM(43278,43284) = 312207492

Least Common Multiple (LCM) of 43278 and 43284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43278 and 43284. First we will calculate the prime factors of 43278 and 43284.

Prime Factorization of 43278

Prime Factorization of 43284

Now multiplying the highest exponent prime factors to calculate the LCM of 43278 and 43284.

LCM(43278,43284) = 2² × 3¹ × 7213¹ × 3607¹
LCM(43278,43284) = 312207492