What is the Least Common Multiple of 79025 and 79040?

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 79025 and 79040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79025 and 79040, than apply into the LCM equation.

GCF(79025,79040) = 5
LCM(79025,79040) = ( 79025 × 79040) / 5
LCM(79025,79040) = 6246136000 / 5
LCM(79025,79040) = 1249227200

Least Common Multiple (LCM) of 79025 and 79040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79025 and 79040. First we will calculate the prime factors of 79025 and 79040.

Prime Factorization of 79025

Prime Factorization of 79040

Now multiplying the highest exponent prime factors to calculate the LCM of 79025 and 79040.

LCM(79025,79040) = 5² × 29¹ × 109¹ × 2⁶ × 13¹ × 19¹
LCM(79025,79040) = 1249227200