What is the Least Common Multiple of 87228 and 87243?

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 87228 and 87243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87228 and 87243, than apply into the LCM equation.

GCF(87228,87243) = 3
LCM(87228,87243) = ( 87228 × 87243) / 3
LCM(87228,87243) = 7610032404 / 3
LCM(87228,87243) = 2536677468

Least Common Multiple (LCM) of 87228 and 87243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87228 and 87243. First we will calculate the prime factors of 87228 and 87243.

Prime Factorization of 87228

Prime Factorization of 87243

Now multiplying the highest exponent prime factors to calculate the LCM of 87228 and 87243.

LCM(87228,87243) = 2² × 3² × 2423¹ × 13¹ × 2237¹
LCM(87228,87243) = 2536677468