What is the Least Common Multiple of 94176 and 94181?

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 94176 and 94181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94176 and 94181, than apply into the LCM equation.

GCF(94176,94181) = 1
LCM(94176,94181) = ( 94176 × 94181) / 1
LCM(94176,94181) = 8869589856 / 1
LCM(94176,94181) = 8869589856

Least Common Multiple (LCM) of 94176 and 94181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94176 and 94181. First we will calculate the prime factors of 94176 and 94181.

Prime Factorization of 94176

Prime Factorization of 94181

Now multiplying the highest exponent prime factors to calculate the LCM of 94176 and 94181.

LCM(94176,94181) = 2⁵ × 3³ × 109¹ × 53¹ × 1777¹
LCM(94176,94181) = 8869589856