What is the Least Common Multiple of 3030 and 3048?

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 3030 and 3048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3030 and 3048, than apply into the LCM equation.

GCF(3030,3048) = 6
LCM(3030,3048) = ( 3030 × 3048) / 6
LCM(3030,3048) = 9235440 / 6
LCM(3030,3048) = 1539240

Least Common Multiple (LCM) of 3030 and 3048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3030 and 3048. First we will calculate the prime factors of 3030 and 3048.

Prime Factorization of 3030

Prime Factorization of 3048

Now multiplying the highest exponent prime factors to calculate the LCM of 3030 and 3048.

LCM(3030,3048) = 2³ × 3¹ × 5¹ × 101¹ × 127¹
LCM(3030,3048) = 1539240