What is the Least Common Multiple of 25178 and 25196?

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 25178 and 25196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25178 and 25196, than apply into the LCM equation.

GCF(25178,25196) = 2
LCM(25178,25196) = ( 25178 × 25196) / 2
LCM(25178,25196) = 634384888 / 2
LCM(25178,25196) = 317192444

Least Common Multiple (LCM) of 25178 and 25196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25178 and 25196. First we will calculate the prime factors of 25178 and 25196.

Prime Factorization of 25178

Prime Factorization of 25196

Now multiplying the highest exponent prime factors to calculate the LCM of 25178 and 25196.

LCM(25178,25196) = 2² × 12589¹ × 6299¹
LCM(25178,25196) = 317192444