What is the Least Common Multiple of 3072 and 3085?

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 3085 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 3085, than apply into the LCM equation.

GCF(3072,3085) = 1
LCM(3072,3085) = ( 3072 × 3085) / 1
LCM(3072,3085) = 9477120 / 1
LCM(3072,3085) = 9477120

Least Common Multiple (LCM) of 3072 and 3085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3072 and 3085. First we will calculate the prime factors of 3072 and 3085.

Prime Factorization of 3072

Prime Factorization of 3085

Now multiplying the highest exponent prime factors to calculate the LCM of 3072 and 3085.

LCM(3072,3085) = 2¹⁰ × 3¹ × 5¹ × 617¹
LCM(3072,3085) = 9477120