What is the Least Common Multiple of 24210 and 24214?

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 24210 and 24214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24210 and 24214, than apply into the LCM equation.

GCF(24210,24214) = 2
LCM(24210,24214) = ( 24210 × 24214) / 2
LCM(24210,24214) = 586220940 / 2
LCM(24210,24214) = 293110470

Least Common Multiple (LCM) of 24210 and 24214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24210 and 24214. First we will calculate the prime factors of 24210 and 24214.

Prime Factorization of 24210

Prime Factorization of 24214

Now multiplying the highest exponent prime factors to calculate the LCM of 24210 and 24214.

LCM(24210,24214) = 2¹ × 3² × 5¹ × 269¹ × 12107¹
LCM(24210,24214) = 293110470