What is the Least Common Multiple of 25414 and 25423?

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 25414 and 25423 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25414 and 25423, than apply into the LCM equation.

GCF(25414,25423) = 1
LCM(25414,25423) = ( 25414 × 25423) / 1
LCM(25414,25423) = 646100122 / 1
LCM(25414,25423) = 646100122

Least Common Multiple (LCM) of 25414 and 25423 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25414 and 25423. First we will calculate the prime factors of 25414 and 25423.

Prime Factorization of 25414

Prime Factorization of 25423

Now multiplying the highest exponent prime factors to calculate the LCM of 25414 and 25423.

LCM(25414,25423) = 2¹ × 97¹ × 131¹ × 25423¹
LCM(25414,25423) = 646100122