What is the Least Common Multiple of 74185 and 74199?

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 74185 and 74199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74185 and 74199, than apply into the LCM equation.

GCF(74185,74199) = 1
LCM(74185,74199) = ( 74185 × 74199) / 1
LCM(74185,74199) = 5504452815 / 1
LCM(74185,74199) = 5504452815

Least Common Multiple (LCM) of 74185 and 74199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74185 and 74199. First we will calculate the prime factors of 74185 and 74199.

Prime Factorization of 74185

Prime Factorization of 74199

Now multiplying the highest exponent prime factors to calculate the LCM of 74185 and 74199.

LCM(74185,74199) = 5¹ × 37¹ × 401¹ × 3¹ × 24733¹
LCM(74185,74199) = 5504452815