What is the Least Common Multiple of 5056 and 5074?

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 5056 and 5074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5056 and 5074, than apply into the LCM equation.

GCF(5056,5074) = 2
LCM(5056,5074) = ( 5056 × 5074) / 2
LCM(5056,5074) = 25654144 / 2
LCM(5056,5074) = 12827072

Least Common Multiple (LCM) of 5056 and 5074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5056 and 5074. First we will calculate the prime factors of 5056 and 5074.

Prime Factorization of 5056

Prime Factorization of 5074

Now multiplying the highest exponent prime factors to calculate the LCM of 5056 and 5074.

LCM(5056,5074) = 2⁶ × 79¹ × 43¹ × 59¹
LCM(5056,5074) = 12827072