What is the Least Common Multiple of 74809 and 74825?

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 74809 and 74825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74809 and 74825, than apply into the LCM equation.

GCF(74809,74825) = 1
LCM(74809,74825) = ( 74809 × 74825) / 1
LCM(74809,74825) = 5597583425 / 1
LCM(74809,74825) = 5597583425

Least Common Multiple (LCM) of 74809 and 74825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74809 and 74825. First we will calculate the prime factors of 74809 and 74825.

Prime Factorization of 74809

Prime Factorization of 74825

Now multiplying the highest exponent prime factors to calculate the LCM of 74809 and 74825.

LCM(74809,74825) = 7¹ × 10687¹ × 5² × 41¹ × 73¹
LCM(74809,74825) = 5597583425