What is the Least Common Multiple of 11214 and 11234?

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 11214 and 11234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11214 and 11234, than apply into the LCM equation.

GCF(11214,11234) = 2
LCM(11214,11234) = ( 11214 × 11234) / 2
LCM(11214,11234) = 125978076 / 2
LCM(11214,11234) = 62989038

Least Common Multiple (LCM) of 11214 and 11234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11214 and 11234. First we will calculate the prime factors of 11214 and 11234.

Prime Factorization of 11214

Prime Factorization of 11234

Now multiplying the highest exponent prime factors to calculate the LCM of 11214 and 11234.

LCM(11214,11234) = 2¹ × 3² × 7¹ × 89¹ × 41¹ × 137¹
LCM(11214,11234) = 62989038