What is the Least Common Multiple of 24185 and 24194?

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 24185 and 24194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24185 and 24194, than apply into the LCM equation.

GCF(24185,24194) = 1
LCM(24185,24194) = ( 24185 × 24194) / 1
LCM(24185,24194) = 585131890 / 1
LCM(24185,24194) = 585131890

Least Common Multiple (LCM) of 24185 and 24194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24185 and 24194. First we will calculate the prime factors of 24185 and 24194.

Prime Factorization of 24185

Prime Factorization of 24194

Now multiplying the highest exponent prime factors to calculate the LCM of 24185 and 24194.

LCM(24185,24194) = 5¹ × 7¹ × 691¹ × 2¹ × 12097¹
LCM(24185,24194) = 585131890