What is the Least Common Multiple of 52325 and 52330?

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 52325 and 52330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52325 and 52330, than apply into the LCM equation.

GCF(52325,52330) = 5
LCM(52325,52330) = ( 52325 × 52330) / 5
LCM(52325,52330) = 2738167250 / 5
LCM(52325,52330) = 547633450

Least Common Multiple (LCM) of 52325 and 52330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52325 and 52330. First we will calculate the prime factors of 52325 and 52330.

Prime Factorization of 52325

Prime Factorization of 52330

Now multiplying the highest exponent prime factors to calculate the LCM of 52325 and 52330.

LCM(52325,52330) = 5² × 7¹ × 13¹ × 23¹ × 2¹ × 5233¹
LCM(52325,52330) = 547633450