What is the Least Common Multiple of 25136 and 25149?

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 25136 and 25149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25136 and 25149, than apply into the LCM equation.

GCF(25136,25149) = 1
LCM(25136,25149) = ( 25136 × 25149) / 1
LCM(25136,25149) = 632145264 / 1
LCM(25136,25149) = 632145264

Least Common Multiple (LCM) of 25136 and 25149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25136 and 25149. First we will calculate the prime factors of 25136 and 25149.

Prime Factorization of 25136

Prime Factorization of 25149

Now multiplying the highest exponent prime factors to calculate the LCM of 25136 and 25149.

LCM(25136,25149) = 2⁴ × 1571¹ × 3¹ × 83¹ × 101¹
LCM(25136,25149) = 632145264