What is the Least Common Multiple of 24940 and 24958?

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 24940 and 24958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24940 and 24958, than apply into the LCM equation.

GCF(24940,24958) = 2
LCM(24940,24958) = ( 24940 × 24958) / 2
LCM(24940,24958) = 622452520 / 2
LCM(24940,24958) = 311226260

Least Common Multiple (LCM) of 24940 and 24958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24940 and 24958. First we will calculate the prime factors of 24940 and 24958.

Prime Factorization of 24940

Prime Factorization of 24958

Now multiplying the highest exponent prime factors to calculate the LCM of 24940 and 24958.

LCM(24940,24958) = 2² × 5¹ × 29¹ × 43¹ × 12479¹
LCM(24940,24958) = 311226260