What is the Least Common Multiple of 36176 and 36192?

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 36176 and 36192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36176 and 36192, than apply into the LCM equation.

GCF(36176,36192) = 16
LCM(36176,36192) = ( 36176 × 36192) / 16
LCM(36176,36192) = 1309281792 / 16
LCM(36176,36192) = 81830112

Least Common Multiple (LCM) of 36176 and 36192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36176 and 36192. First we will calculate the prime factors of 36176 and 36192.

Prime Factorization of 36176

Prime Factorization of 36192

Now multiplying the highest exponent prime factors to calculate the LCM of 36176 and 36192.

LCM(36176,36192) = 2⁵ × 7¹ × 17¹ × 19¹ × 3¹ × 13¹ × 29¹
LCM(36176,36192) = 81830112