What is the Least Common Multiple of 23056 and 23074?

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 23056 and 23074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23056 and 23074, than apply into the LCM equation.

GCF(23056,23074) = 2
LCM(23056,23074) = ( 23056 × 23074) / 2
LCM(23056,23074) = 531994144 / 2
LCM(23056,23074) = 265997072

Least Common Multiple (LCM) of 23056 and 23074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23056 and 23074. First we will calculate the prime factors of 23056 and 23074.

Prime Factorization of 23056

Prime Factorization of 23074

Now multiplying the highest exponent prime factors to calculate the LCM of 23056 and 23074.

LCM(23056,23074) = 2⁴ × 11¹ × 131¹ × 83¹ × 139¹
LCM(23056,23074) = 265997072