What is the Least Common Multiple of 60228 and 60243?

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 60228 and 60243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60228 and 60243, than apply into the LCM equation.

GCF(60228,60243) = 3
LCM(60228,60243) = ( 60228 × 60243) / 3
LCM(60228,60243) = 3628315404 / 3
LCM(60228,60243) = 1209438468

Least Common Multiple (LCM) of 60228 and 60243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60228 and 60243. First we will calculate the prime factors of 60228 and 60243.

Prime Factorization of 60228

Prime Factorization of 60243

Now multiplying the highest exponent prime factors to calculate the LCM of 60228 and 60243.

LCM(60228,60243) = 2² × 3² × 7¹ × 239¹ × 43¹ × 467¹
LCM(60228,60243) = 1209438468