What is the Least Common Multiple of 48060 and 48072?

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 48072 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 48072, than apply into the LCM equation.

GCF(48060,48072) = 12
LCM(48060,48072) = ( 48060 × 48072) / 12
LCM(48060,48072) = 2310340320 / 12
LCM(48060,48072) = 192528360

Least Common Multiple (LCM) of 48060 and 48072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48060 and 48072. First we will calculate the prime factors of 48060 and 48072.

Prime Factorization of 48060

Prime Factorization of 48072

Now multiplying the highest exponent prime factors to calculate the LCM of 48060 and 48072.

LCM(48060,48072) = 2³ × 3³ × 5¹ × 89¹ × 2003¹
LCM(48060,48072) = 192528360