What is the Least Common Multiple of 25088 and 25102?

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 25088 and 25102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25088 and 25102, than apply into the LCM equation.

GCF(25088,25102) = 14
LCM(25088,25102) = ( 25088 × 25102) / 14
LCM(25088,25102) = 629758976 / 14
LCM(25088,25102) = 44982784

Least Common Multiple (LCM) of 25088 and 25102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25088 and 25102. First we will calculate the prime factors of 25088 and 25102.

Prime Factorization of 25088

Prime Factorization of 25102

Now multiplying the highest exponent prime factors to calculate the LCM of 25088 and 25102.

LCM(25088,25102) = 2⁹ × 7² × 11¹ × 163¹
LCM(25088,25102) = 44982784