What is the Least Common Multiple of 72228 and 72234?

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 72228 and 72234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72228 and 72234, than apply into the LCM equation.

GCF(72228,72234) = 6
LCM(72228,72234) = ( 72228 × 72234) / 6
LCM(72228,72234) = 5217317352 / 6
LCM(72228,72234) = 869552892

Least Common Multiple (LCM) of 72228 and 72234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72228 and 72234. First we will calculate the prime factors of 72228 and 72234.

Prime Factorization of 72228

Prime Factorization of 72234

Now multiplying the highest exponent prime factors to calculate the LCM of 72228 and 72234.

LCM(72228,72234) = 2² × 3² × 13¹ × 463¹ × 4013¹
LCM(72228,72234) = 869552892