What is the Least Common Multiple of 3040 and 3059?

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 3040 and 3059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3040 and 3059, than apply into the LCM equation.

GCF(3040,3059) = 19
LCM(3040,3059) = ( 3040 × 3059) / 19
LCM(3040,3059) = 9299360 / 19
LCM(3040,3059) = 489440

Least Common Multiple (LCM) of 3040 and 3059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3040 and 3059. First we will calculate the prime factors of 3040 and 3059.

Prime Factorization of 3040

Prime Factorization of 3059

Now multiplying the highest exponent prime factors to calculate the LCM of 3040 and 3059.

LCM(3040,3059) = 2⁵ × 5¹ × 19¹ × 7¹ × 23¹
LCM(3040,3059) = 489440