What is the Least Common Multiple of 25104 and 25109?

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 25104 and 25109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25104 and 25109, than apply into the LCM equation.

GCF(25104,25109) = 1
LCM(25104,25109) = ( 25104 × 25109) / 1
LCM(25104,25109) = 630336336 / 1
LCM(25104,25109) = 630336336

Least Common Multiple (LCM) of 25104 and 25109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25104 and 25109. First we will calculate the prime factors of 25104 and 25109.

Prime Factorization of 25104

Prime Factorization of 25109

Now multiplying the highest exponent prime factors to calculate the LCM of 25104 and 25109.

LCM(25104,25109) = 2⁴ × 3¹ × 523¹ × 7¹ × 17¹ × 211¹
LCM(25104,25109) = 630336336