What is the Least Common Multiple of 24175 and 24190?

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 24175 and 24190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24175 and 24190, than apply into the LCM equation.

GCF(24175,24190) = 5
LCM(24175,24190) = ( 24175 × 24190) / 5
LCM(24175,24190) = 584793250 / 5
LCM(24175,24190) = 116958650

Least Common Multiple (LCM) of 24175 and 24190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24175 and 24190. First we will calculate the prime factors of 24175 and 24190.

Prime Factorization of 24175

Prime Factorization of 24190

Now multiplying the highest exponent prime factors to calculate the LCM of 24175 and 24190.

LCM(24175,24190) = 5² × 967¹ × 2¹ × 41¹ × 59¹
LCM(24175,24190) = 116958650