What is the Least Common Multiple of 36176 and 36181?

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 36181 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 36181, than apply into the LCM equation.

GCF(36176,36181) = 1
LCM(36176,36181) = ( 36176 × 36181) / 1
LCM(36176,36181) = 1308883856 / 1
LCM(36176,36181) = 1308883856

Least Common Multiple (LCM) of 36176 and 36181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36176 and 36181. First we will calculate the prime factors of 36176 and 36181.

Prime Factorization of 36176

Prime Factorization of 36181

Now multiplying the highest exponent prime factors to calculate the LCM of 36176 and 36181.

LCM(36176,36181) = 2⁴ × 7¹ × 17¹ × 19¹ × 97¹ × 373¹
LCM(36176,36181) = 1308883856