What is the Least Common Multiple of 94160 and 94165?

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 94160 and 94165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94160 and 94165, than apply into the LCM equation.

GCF(94160,94165) = 5
LCM(94160,94165) = ( 94160 × 94165) / 5
LCM(94160,94165) = 8866576400 / 5
LCM(94160,94165) = 1773315280

Least Common Multiple (LCM) of 94160 and 94165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94160 and 94165. First we will calculate the prime factors of 94160 and 94165.

Prime Factorization of 94160

Prime Factorization of 94165

Now multiplying the highest exponent prime factors to calculate the LCM of 94160 and 94165.

LCM(94160,94165) = 2⁴ × 5¹ × 11¹ × 107¹ × 37¹ × 509¹
LCM(94160,94165) = 1773315280