What is the Least Common Multiple of 68025 and 68040?

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 68025 and 68040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68025 and 68040, than apply into the LCM equation.

GCF(68025,68040) = 15
LCM(68025,68040) = ( 68025 × 68040) / 15
LCM(68025,68040) = 4628421000 / 15
LCM(68025,68040) = 308561400

Least Common Multiple (LCM) of 68025 and 68040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68025 and 68040. First we will calculate the prime factors of 68025 and 68040.

Prime Factorization of 68025

Prime Factorization of 68040

Now multiplying the highest exponent prime factors to calculate the LCM of 68025 and 68040.

LCM(68025,68040) = 3⁵ × 5² × 907¹ × 2³ × 7¹
LCM(68025,68040) = 308561400