What is the Least Common Multiple of 24930 and 24942?

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 24930 and 24942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24930 and 24942, than apply into the LCM equation.

GCF(24930,24942) = 6
LCM(24930,24942) = ( 24930 × 24942) / 6
LCM(24930,24942) = 621804060 / 6
LCM(24930,24942) = 103634010

Least Common Multiple (LCM) of 24930 and 24942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24930 and 24942. First we will calculate the prime factors of 24930 and 24942.

Prime Factorization of 24930

Prime Factorization of 24942

Now multiplying the highest exponent prime factors to calculate the LCM of 24930 and 24942.

LCM(24930,24942) = 2¹ × 3² × 5¹ × 277¹ × 4157¹
LCM(24930,24942) = 103634010