What is the Least Common Multiple of 25095 and 25104?

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 25095 and 25104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25095 and 25104, than apply into the LCM equation.

GCF(25095,25104) = 3
LCM(25095,25104) = ( 25095 × 25104) / 3
LCM(25095,25104) = 629984880 / 3
LCM(25095,25104) = 209994960

Least Common Multiple (LCM) of 25095 and 25104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25095 and 25104. First we will calculate the prime factors of 25095 and 25104.

Prime Factorization of 25095

Prime Factorization of 25104

Now multiplying the highest exponent prime factors to calculate the LCM of 25095 and 25104.

LCM(25095,25104) = 3¹ × 5¹ × 7¹ × 239¹ × 2⁴ × 523¹
LCM(25095,25104) = 209994960