What is the Least Common Multiple of 52650 and 52670?

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 52650 and 52670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52650 and 52670, than apply into the LCM equation.

GCF(52650,52670) = 10
LCM(52650,52670) = ( 52650 × 52670) / 10
LCM(52650,52670) = 2773075500 / 10
LCM(52650,52670) = 277307550

Least Common Multiple (LCM) of 52650 and 52670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52650 and 52670. First we will calculate the prime factors of 52650 and 52670.

Prime Factorization of 52650

Prime Factorization of 52670

Now multiplying the highest exponent prime factors to calculate the LCM of 52650 and 52670.

LCM(52650,52670) = 2¹ × 3⁴ × 5² × 13¹ × 23¹ × 229¹
LCM(52650,52670) = 277307550