What is the Least Common Multiple of 43254 and 43260?

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 43254 and 43260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43254 and 43260, than apply into the LCM equation.

GCF(43254,43260) = 6
LCM(43254,43260) = ( 43254 × 43260) / 6
LCM(43254,43260) = 1871168040 / 6
LCM(43254,43260) = 311861340

Least Common Multiple (LCM) of 43254 and 43260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43254 and 43260. First we will calculate the prime factors of 43254 and 43260.

Prime Factorization of 43254

Prime Factorization of 43260

Now multiplying the highest exponent prime factors to calculate the LCM of 43254 and 43260.

LCM(43254,43260) = 2² × 3⁵ × 89¹ × 5¹ × 7¹ × 103¹
LCM(43254,43260) = 311861340