What is the Least Common Multiple of 25172 and 25188?

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 25172 and 25188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25172 and 25188, than apply into the LCM equation.

GCF(25172,25188) = 4
LCM(25172,25188) = ( 25172 × 25188) / 4
LCM(25172,25188) = 634032336 / 4
LCM(25172,25188) = 158508084

Least Common Multiple (LCM) of 25172 and 25188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25172 and 25188. First we will calculate the prime factors of 25172 and 25188.

Prime Factorization of 25172

Prime Factorization of 25188

Now multiplying the highest exponent prime factors to calculate the LCM of 25172 and 25188.

LCM(25172,25188) = 2² × 7¹ × 29¹ × 31¹ × 3¹ × 2099¹
LCM(25172,25188) = 158508084