What is the Least Common Multiple of 3030 and 3049?

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 3049 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 3049, than apply into the LCM equation.

GCF(3030,3049) = 1
LCM(3030,3049) = ( 3030 × 3049) / 1
LCM(3030,3049) = 9238470 / 1
LCM(3030,3049) = 9238470

Least Common Multiple (LCM) of 3030 and 3049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3030 and 3049. First we will calculate the prime factors of 3030 and 3049.

Prime Factorization of 3030

Prime Factorization of 3049

Now multiplying the highest exponent prime factors to calculate the LCM of 3030 and 3049.

LCM(3030,3049) = 2¹ × 3¹ × 5¹ × 101¹ × 3049¹
LCM(3030,3049) = 9238470