What is the Least Common Multiple of 25152 and 25158?

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 25152 and 25158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25152 and 25158, than apply into the LCM equation.

GCF(25152,25158) = 6
LCM(25152,25158) = ( 25152 × 25158) / 6
LCM(25152,25158) = 632774016 / 6
LCM(25152,25158) = 105462336

Least Common Multiple (LCM) of 25152 and 25158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25152 and 25158. First we will calculate the prime factors of 25152 and 25158.

Prime Factorization of 25152

Prime Factorization of 25158

Now multiplying the highest exponent prime factors to calculate the LCM of 25152 and 25158.

LCM(25152,25158) = 2⁶ × 3¹ × 131¹ × 7¹ × 599¹
LCM(25152,25158) = 105462336