What is the Least Common Multiple of 3045 and 3055?

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 3045 and 3055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3045 and 3055, than apply into the LCM equation.

GCF(3045,3055) = 5
LCM(3045,3055) = ( 3045 × 3055) / 5
LCM(3045,3055) = 9302475 / 5
LCM(3045,3055) = 1860495

Least Common Multiple (LCM) of 3045 and 3055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3045 and 3055. First we will calculate the prime factors of 3045 and 3055.

Prime Factorization of 3045

Prime Factorization of 3055

Now multiplying the highest exponent prime factors to calculate the LCM of 3045 and 3055.

LCM(3045,3055) = 3¹ × 5¹ × 7¹ × 29¹ × 13¹ × 47¹
LCM(3045,3055) = 1860495