What is the Least Common Multiple of 25214 and 25230?

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 25214 and 25230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25214 and 25230, than apply into the LCM equation.

GCF(25214,25230) = 2
LCM(25214,25230) = ( 25214 × 25230) / 2
LCM(25214,25230) = 636149220 / 2
LCM(25214,25230) = 318074610

Least Common Multiple (LCM) of 25214 and 25230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25214 and 25230. First we will calculate the prime factors of 25214 and 25230.

Prime Factorization of 25214

Prime Factorization of 25230

Now multiplying the highest exponent prime factors to calculate the LCM of 25214 and 25230.

LCM(25214,25230) = 2¹ × 7¹ × 1801¹ × 3¹ × 5¹ × 29²
LCM(25214,25230) = 318074610