What is the Least Common Multiple of 3072 and 3080?

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 3072 and 3080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3072 and 3080, than apply into the LCM equation.

GCF(3072,3080) = 8
LCM(3072,3080) = ( 3072 × 3080) / 8
LCM(3072,3080) = 9461760 / 8
LCM(3072,3080) = 1182720

Least Common Multiple (LCM) of 3072 and 3080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3072 and 3080. First we will calculate the prime factors of 3072 and 3080.

Prime Factorization of 3072

Prime Factorization of 3080

Now multiplying the highest exponent prime factors to calculate the LCM of 3072 and 3080.

LCM(3072,3080) = 2¹⁰ × 3¹ × 5¹ × 7¹ × 11¹
LCM(3072,3080) = 1182720