What is the Least Common Multiple of 45056 and 45074?

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 45056 and 45074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45056 and 45074, than apply into the LCM equation.

GCF(45056,45074) = 2
LCM(45056,45074) = ( 45056 × 45074) / 2
LCM(45056,45074) = 2030854144 / 2
LCM(45056,45074) = 1015427072

Least Common Multiple (LCM) of 45056 and 45074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45056 and 45074. First we will calculate the prime factors of 45056 and 45074.

Prime Factorization of 45056

Prime Factorization of 45074

Now multiplying the highest exponent prime factors to calculate the LCM of 45056 and 45074.

LCM(45056,45074) = 2¹² × 11¹ × 31¹ × 727¹
LCM(45056,45074) = 1015427072