What is the Least Common Multiple of 3040 and 3053?

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 3053 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 3053, than apply into the LCM equation.

GCF(3040,3053) = 1
LCM(3040,3053) = ( 3040 × 3053) / 1
LCM(3040,3053) = 9281120 / 1
LCM(3040,3053) = 9281120

Least Common Multiple (LCM) of 3040 and 3053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3040 and 3053. First we will calculate the prime factors of 3040 and 3053.

Prime Factorization of 3040

Prime Factorization of 3053

Now multiplying the highest exponent prime factors to calculate the LCM of 3040 and 3053.

LCM(3040,3053) = 2⁵ × 5¹ × 19¹ × 43¹ × 71¹
LCM(3040,3053) = 9281120