What is the Least Common Multiple of 52215 and 52233?

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 52215 and 52233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52215 and 52233, than apply into the LCM equation.

GCF(52215,52233) = 3
LCM(52215,52233) = ( 52215 × 52233) / 3
LCM(52215,52233) = 2727346095 / 3
LCM(52215,52233) = 909115365

Least Common Multiple (LCM) of 52215 and 52233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52215 and 52233. First we will calculate the prime factors of 52215 and 52233.

Prime Factorization of 52215

Prime Factorization of 52233

Now multiplying the highest exponent prime factors to calculate the LCM of 52215 and 52233.

LCM(52215,52233) = 3¹ × 5¹ × 59² × 23¹ × 757¹
LCM(52215,52233) = 909115365