What is the Least Common Multiple of 52362 and 52380?

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 52362 and 52380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52362 and 52380, than apply into the LCM equation.

GCF(52362,52380) = 18
LCM(52362,52380) = ( 52362 × 52380) / 18
LCM(52362,52380) = 2742721560 / 18
LCM(52362,52380) = 152373420

Least Common Multiple (LCM) of 52362 and 52380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52362 and 52380. First we will calculate the prime factors of 52362 and 52380.

Prime Factorization of 52362

Prime Factorization of 52380

Now multiplying the highest exponent prime factors to calculate the LCM of 52362 and 52380.

LCM(52362,52380) = 2² × 3³ × 2909¹ × 5¹ × 97¹
LCM(52362,52380) = 152373420