What is the Least Common Multiple of 52350 and 52368?

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 52350 and 52368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52350 and 52368, than apply into the LCM equation.

GCF(52350,52368) = 6
LCM(52350,52368) = ( 52350 × 52368) / 6
LCM(52350,52368) = 2741464800 / 6
LCM(52350,52368) = 456910800

Least Common Multiple (LCM) of 52350 and 52368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52350 and 52368. First we will calculate the prime factors of 52350 and 52368.

Prime Factorization of 52350

Prime Factorization of 52368

Now multiplying the highest exponent prime factors to calculate the LCM of 52350 and 52368.

LCM(52350,52368) = 2⁴ × 3¹ × 5² × 349¹ × 1091¹
LCM(52350,52368) = 456910800