What is the Least Common Multiple of 25400 and 25414?

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 25400 and 25414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25400 and 25414, than apply into the LCM equation.

GCF(25400,25414) = 2
LCM(25400,25414) = ( 25400 × 25414) / 2
LCM(25400,25414) = 645515600 / 2
LCM(25400,25414) = 322757800

Least Common Multiple (LCM) of 25400 and 25414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25400 and 25414. First we will calculate the prime factors of 25400 and 25414.

Prime Factorization of 25400

Prime Factorization of 25414

Now multiplying the highest exponent prime factors to calculate the LCM of 25400 and 25414.

LCM(25400,25414) = 2³ × 5² × 127¹ × 97¹ × 131¹
LCM(25400,25414) = 322757800