What is the Least Common Multiple of 14238 and 14242?

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 14238 and 14242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14238 and 14242, than apply into the LCM equation.

GCF(14238,14242) = 2
LCM(14238,14242) = ( 14238 × 14242) / 2
LCM(14238,14242) = 202777596 / 2
LCM(14238,14242) = 101388798

Least Common Multiple (LCM) of 14238 and 14242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14238 and 14242. First we will calculate the prime factors of 14238 and 14242.

Prime Factorization of 14238

Prime Factorization of 14242

Now multiplying the highest exponent prime factors to calculate the LCM of 14238 and 14242.

LCM(14238,14242) = 2¹ × 3² × 7¹ × 113¹ × 7121¹
LCM(14238,14242) = 101388798