What is the Least Common Multiple of 92025 and 92040?

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 92025 and 92040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92025 and 92040, than apply into the LCM equation.

GCF(92025,92040) = 15
LCM(92025,92040) = ( 92025 × 92040) / 15
LCM(92025,92040) = 8469981000 / 15
LCM(92025,92040) = 564665400

Least Common Multiple (LCM) of 92025 and 92040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92025 and 92040. First we will calculate the prime factors of 92025 and 92040.

Prime Factorization of 92025

Prime Factorization of 92040

Now multiplying the highest exponent prime factors to calculate the LCM of 92025 and 92040.

LCM(92025,92040) = 3² × 5² × 409¹ × 2³ × 13¹ × 59¹
LCM(92025,92040) = 564665400