What is the Least Common Multiple of 25228 and 25235?

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 25228 and 25235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25228 and 25235, than apply into the LCM equation.

GCF(25228,25235) = 7
LCM(25228,25235) = ( 25228 × 25235) / 7
LCM(25228,25235) = 636628580 / 7
LCM(25228,25235) = 90946940

Least Common Multiple (LCM) of 25228 and 25235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25228 and 25235. First we will calculate the prime factors of 25228 and 25235.

Prime Factorization of 25228

Prime Factorization of 25235

Now multiplying the highest exponent prime factors to calculate the LCM of 25228 and 25235.

LCM(25228,25235) = 2² × 7² × 17¹ × 53¹ × 5¹ × 103¹
LCM(25228,25235) = 90946940