What is the Least Common Multiple of 52050 and 52056?

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 52050 and 52056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52050 and 52056, than apply into the LCM equation.

GCF(52050,52056) = 6
LCM(52050,52056) = ( 52050 × 52056) / 6
LCM(52050,52056) = 2709514800 / 6
LCM(52050,52056) = 451585800

Least Common Multiple (LCM) of 52050 and 52056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52050 and 52056. First we will calculate the prime factors of 52050 and 52056.

Prime Factorization of 52050

Prime Factorization of 52056

Now multiplying the highest exponent prime factors to calculate the LCM of 52050 and 52056.

LCM(52050,52056) = 2³ × 3³ × 5² × 347¹ × 241¹
LCM(52050,52056) = 451585800