GCF and LCM Calculator Logo

What is the Least Common Multiple of 67025 and 67040?

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 67025 and 67040 is 898671200.

LCM(67025,67040) = 898671200

LCM Calculator and
and

Least Common Multiple of 67025 and 67040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67025 and 67040, than apply into the LCM equation.

GCF(67025,67040) = 5
LCM(67025,67040) = ( 67025 × 67040) / 5
LCM(67025,67040) = 4493356000 / 5
LCM(67025,67040) = 898671200

Least Common Multiple (LCM) of 67025 and 67040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67025 and 67040. First we will calculate the prime factors of 67025 and 67040.

Prime Factorization of 67025

Prime factors of 67025 are 5, 7, 383. Prime factorization of 67025 in exponential form is:

67025 = 52 × 71 × 3831

Prime Factorization of 67040

Prime factors of 67040 are 2, 5, 419. Prime factorization of 67040 in exponential form is:

67040 = 25 × 51 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 67025 and 67040.

LCM(67025,67040) = 52 × 71 × 3831 × 25 × 4191
LCM(67025,67040) = 898671200