What is the Least Common Multiple of 94176 and 94185?

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 94185 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 94185, than apply into the LCM equation.

GCF(94176,94185) = 9
LCM(94176,94185) = ( 94176 × 94185) / 9
LCM(94176,94185) = 8869966560 / 9
LCM(94176,94185) = 985551840

Least Common Multiple (LCM) of 94176 and 94185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94176 and 94185. First we will calculate the prime factors of 94176 and 94185.

Prime Factorization of 94176

Prime Factorization of 94185

Now multiplying the highest exponent prime factors to calculate the LCM of 94176 and 94185.

LCM(94176,94185) = 2⁵ × 3³ × 109¹ × 5¹ × 7¹ × 13¹ × 23¹
LCM(94176,94185) = 985551840