What is the Least Common Multiple of 24050 and 24055?

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 24050 and 24055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24050 and 24055, than apply into the LCM equation.

GCF(24050,24055) = 5
LCM(24050,24055) = ( 24050 × 24055) / 5
LCM(24050,24055) = 578522750 / 5
LCM(24050,24055) = 115704550

Least Common Multiple (LCM) of 24050 and 24055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24050 and 24055. First we will calculate the prime factors of 24050 and 24055.

Prime Factorization of 24050

Prime Factorization of 24055

Now multiplying the highest exponent prime factors to calculate the LCM of 24050 and 24055.

LCM(24050,24055) = 2¹ × 5² × 13¹ × 37¹ × 17¹ × 283¹
LCM(24050,24055) = 115704550