What is the Least Common Multiple of 48072 and 48080?

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 48072 and 48080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48072 and 48080, than apply into the LCM equation.

GCF(48072,48080) = 8
LCM(48072,48080) = ( 48072 × 48080) / 8
LCM(48072,48080) = 2311301760 / 8
LCM(48072,48080) = 288912720

Least Common Multiple (LCM) of 48072 and 48080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48072 and 48080. First we will calculate the prime factors of 48072 and 48080.

Prime Factorization of 48072

Prime Factorization of 48080

Now multiplying the highest exponent prime factors to calculate the LCM of 48072 and 48080.

LCM(48072,48080) = 2⁴ × 3¹ × 2003¹ × 5¹ × 601¹
LCM(48072,48080) = 288912720