What is the Least Common Multiple of 52239 and 52245?

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 52239 and 52245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52239 and 52245, than apply into the LCM equation.

GCF(52239,52245) = 3
LCM(52239,52245) = ( 52239 × 52245) / 3
LCM(52239,52245) = 2729226555 / 3
LCM(52239,52245) = 909742185

Least Common Multiple (LCM) of 52239 and 52245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52239 and 52245. First we will calculate the prime factors of 52239 and 52245.

Prime Factorization of 52239

Prime Factorization of 52245

Now multiplying the highest exponent prime factors to calculate the LCM of 52239 and 52245.

LCM(52239,52245) = 3⁵ × 11¹ × 1583¹ × 5¹ × 43¹
LCM(52239,52245) = 909742185