What is the Least Common Multiple of 52056 and 52074?

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 52056 and 52074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52056 and 52074, than apply into the LCM equation.

GCF(52056,52074) = 18
LCM(52056,52074) = ( 52056 × 52074) / 18
LCM(52056,52074) = 2710764144 / 18
LCM(52056,52074) = 150598008

Least Common Multiple (LCM) of 52056 and 52074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52056 and 52074. First we will calculate the prime factors of 52056 and 52074.

Prime Factorization of 52056

Prime Factorization of 52074

Now multiplying the highest exponent prime factors to calculate the LCM of 52056 and 52074.

LCM(52056,52074) = 2³ × 3³ × 241¹ × 11¹ × 263¹
LCM(52056,52074) = 150598008