What is the Least Common Multiple of 48060 and 48074?

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 48060 and 48074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48060 and 48074, than apply into the LCM equation.

GCF(48060,48074) = 2
LCM(48060,48074) = ( 48060 × 48074) / 2
LCM(48060,48074) = 2310436440 / 2
LCM(48060,48074) = 1155218220

Least Common Multiple (LCM) of 48060 and 48074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48060 and 48074. First we will calculate the prime factors of 48060 and 48074.

Prime Factorization of 48060

Prime Factorization of 48074

Now multiplying the highest exponent prime factors to calculate the LCM of 48060 and 48074.

LCM(48060,48074) = 2² × 3³ × 5¹ × 89¹ × 13¹ × 43²
LCM(48060,48074) = 1155218220