What is the Least Common Multiple of 21214 and 21233?

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 21214 and 21233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21214 and 21233, than apply into the LCM equation.

GCF(21214,21233) = 1
LCM(21214,21233) = ( 21214 × 21233) / 1
LCM(21214,21233) = 450436862 / 1
LCM(21214,21233) = 450436862

Least Common Multiple (LCM) of 21214 and 21233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21214 and 21233. First we will calculate the prime factors of 21214 and 21233.

Prime Factorization of 21214

Prime Factorization of 21233

Now multiplying the highest exponent prime factors to calculate the LCM of 21214 and 21233.

LCM(21214,21233) = 2¹ × 10607¹ × 17¹ × 1249¹
LCM(21214,21233) = 450436862