What is the Least Common Multiple of 14238 and 14244?

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 14244 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 14244, than apply into the LCM equation.

GCF(14238,14244) = 6
LCM(14238,14244) = ( 14238 × 14244) / 6
LCM(14238,14244) = 202806072 / 6
LCM(14238,14244) = 33801012

Least Common Multiple (LCM) of 14238 and 14244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14238 and 14244. First we will calculate the prime factors of 14238 and 14244.

Prime Factorization of 14238

Prime Factorization of 14244

Now multiplying the highest exponent prime factors to calculate the LCM of 14238 and 14244.

LCM(14238,14244) = 2² × 3² × 7¹ × 113¹ × 1187¹
LCM(14238,14244) = 33801012