What is the Least Common Multiple of 25210 and 25214?

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 25210 and 25214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25210 and 25214, than apply into the LCM equation.

GCF(25210,25214) = 2
LCM(25210,25214) = ( 25210 × 25214) / 2
LCM(25210,25214) = 635644940 / 2
LCM(25210,25214) = 317822470

Least Common Multiple (LCM) of 25210 and 25214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25210 and 25214. First we will calculate the prime factors of 25210 and 25214.

Prime Factorization of 25210

Prime Factorization of 25214

Now multiplying the highest exponent prime factors to calculate the LCM of 25210 and 25214.

LCM(25210,25214) = 2¹ × 5¹ × 2521¹ × 7¹ × 1801¹
LCM(25210,25214) = 317822470