What is the Least Common Multiple of 52228 and 52239?

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 52228 and 52239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52228 and 52239, than apply into the LCM equation.

GCF(52228,52239) = 11
LCM(52228,52239) = ( 52228 × 52239) / 11
LCM(52228,52239) = 2728338492 / 11
LCM(52228,52239) = 248030772

Least Common Multiple (LCM) of 52228 and 52239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52228 and 52239. First we will calculate the prime factors of 52228 and 52239.

Prime Factorization of 52228

Prime Factorization of 52239

Now multiplying the highest exponent prime factors to calculate the LCM of 52228 and 52239.

LCM(52228,52239) = 2² × 11¹ × 1187¹ × 3¹ × 1583¹
LCM(52228,52239) = 248030772