What is the Least Common Multiple of 72228 and 72239?

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 72239 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 72239, than apply into the LCM equation.

GCF(72228,72239) = 1
LCM(72228,72239) = ( 72228 × 72239) / 1
LCM(72228,72239) = 5217678492 / 1
LCM(72228,72239) = 5217678492

Least Common Multiple (LCM) of 72228 and 72239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72228 and 72239. First we will calculate the prime factors of 72228 and 72239.

Prime Factorization of 72228

Prime Factorization of 72239

Now multiplying the highest exponent prime factors to calculate the LCM of 72228 and 72239.

LCM(72228,72239) = 2² × 3¹ × 13¹ × 463¹ × 29¹ × 47¹ × 53¹
LCM(72228,72239) = 5217678492