What is the Least Common Multiple of 24388 and 24402?

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 24388 and 24402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24388 and 24402, than apply into the LCM equation.

GCF(24388,24402) = 14
LCM(24388,24402) = ( 24388 × 24402) / 14
LCM(24388,24402) = 595115976 / 14
LCM(24388,24402) = 42508284

Least Common Multiple (LCM) of 24388 and 24402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24388 and 24402. First we will calculate the prime factors of 24388 and 24402.

Prime Factorization of 24388

Prime Factorization of 24402

Now multiplying the highest exponent prime factors to calculate the LCM of 24388 and 24402.

LCM(24388,24402) = 2² × 7² × 13¹ × 67¹ × 3¹ × 83¹
LCM(24388,24402) = 42508284