What is the Least Common Multiple of 52056 and 52064?

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 52064 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 52064, than apply into the LCM equation.

GCF(52056,52064) = 8
LCM(52056,52064) = ( 52056 × 52064) / 8
LCM(52056,52064) = 2710243584 / 8
LCM(52056,52064) = 338780448

Least Common Multiple (LCM) of 52056 and 52064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52056 and 52064. First we will calculate the prime factors of 52056 and 52064.

Prime Factorization of 52056

Prime Factorization of 52064

Now multiplying the highest exponent prime factors to calculate the LCM of 52056 and 52064.

LCM(52056,52064) = 2⁵ × 3³ × 241¹ × 1627¹
LCM(52056,52064) = 338780448