What is the Least Common Multiple of 39228 and 39243?

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 39228 and 39243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39228 and 39243, than apply into the LCM equation.

GCF(39228,39243) = 3
LCM(39228,39243) = ( 39228 × 39243) / 3
LCM(39228,39243) = 1539424404 / 3
LCM(39228,39243) = 513141468

Least Common Multiple (LCM) of 39228 and 39243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39228 and 39243. First we will calculate the prime factors of 39228 and 39243.

Prime Factorization of 39228

Prime Factorization of 39243

Now multiplying the highest exponent prime factors to calculate the LCM of 39228 and 39243.

LCM(39228,39243) = 2² × 3¹ × 7¹ × 467¹ × 103¹ × 127¹
LCM(39228,39243) = 513141468