What is the Least Common Multiple of 25158 and 25170?

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 25158 and 25170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25158 and 25170, than apply into the LCM equation.

GCF(25158,25170) = 6
LCM(25158,25170) = ( 25158 × 25170) / 6
LCM(25158,25170) = 633226860 / 6
LCM(25158,25170) = 105537810

Least Common Multiple (LCM) of 25158 and 25170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25158 and 25170. First we will calculate the prime factors of 25158 and 25170.

Prime Factorization of 25158

Prime Factorization of 25170

Now multiplying the highest exponent prime factors to calculate the LCM of 25158 and 25170.

LCM(25158,25170) = 2¹ × 3¹ × 7¹ × 599¹ × 5¹ × 839¹
LCM(25158,25170) = 105537810