GCF and LCM Calculator Logo

What is the Least Common Multiple of 3025 and 3040?

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 (LCM) of 3025 and 3040 is 1839200.

LCM(3025,3040) = 1839200

LCM Calculator and
and

Least Common Multiple of 3025 and 3040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3025 and 3040, than apply into the LCM equation.

GCF(3025,3040) = 5
LCM(3025,3040) = ( 3025 × 3040) / 5
LCM(3025,3040) = 9196000 / 5
LCM(3025,3040) = 1839200

Least Common Multiple (LCM) of 3025 and 3040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3025 and 3040. First we will calculate the prime factors of 3025 and 3040.

Prime Factorization of 3025

Prime factors of 3025 are 5, 11. Prime factorization of 3025 in exponential form is:

3025 = 52 × 112

Prime Factorization of 3040

Prime factors of 3040 are 2, 5, 19. Prime factorization of 3040 in exponential form is:

3040 = 25 × 51 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 3025 and 3040.

LCM(3025,3040) = 52 × 112 × 25 × 191
LCM(3025,3040) = 1839200