What is the Least Common Multiple of 47085 and 47097?

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 47085 and 47097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47085 and 47097, than apply into the LCM equation.

GCF(47085,47097) = 3
LCM(47085,47097) = ( 47085 × 47097) / 3
LCM(47085,47097) = 2217562245 / 3
LCM(47085,47097) = 739187415

Least Common Multiple (LCM) of 47085 and 47097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47085 and 47097. First we will calculate the prime factors of 47085 and 47097.

Prime Factorization of 47085

Prime Factorization of 47097

Now multiplying the highest exponent prime factors to calculate the LCM of 47085 and 47097.

LCM(47085,47097) = 3² × 5¹ × 43¹ × 73¹ × 5233¹
LCM(47085,47097) = 739187415