What is the Least Common Multiple of 52317 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 52317 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 52317 and 52330, than apply into the LCM equation.

GCF(52317,52330) = 1
LCM(52317,52330) = ( 52317 × 52330) / 1
LCM(52317,52330) = 2737748610 / 1
LCM(52317,52330) = 2737748610

Least Common Multiple (LCM) of 52317 and 52330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52317 and 52330. First we will calculate the prime factors of 52317 and 52330.

Prime Factorization of 52317

Prime Factorization of 52330

Now multiplying the highest exponent prime factors to calculate the LCM of 52317 and 52330.

LCM(52317,52330) = 3² × 5813¹ × 2¹ × 5¹ × 5233¹
LCM(52317,52330) = 2737748610