What is the Least Common Multiple of 36876 and 36896?

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 36876 and 36896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36876 and 36896, than apply into the LCM equation.

GCF(36876,36896) = 4
LCM(36876,36896) = ( 36876 × 36896) / 4
LCM(36876,36896) = 1360576896 / 4
LCM(36876,36896) = 340144224

Least Common Multiple (LCM) of 36876 and 36896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36876 and 36896. First we will calculate the prime factors of 36876 and 36896.

Prime Factorization of 36876

Prime Factorization of 36896

Now multiplying the highest exponent prime factors to calculate the LCM of 36876 and 36896.

LCM(36876,36896) = 2⁵ × 3¹ × 7¹ × 439¹ × 1153¹
LCM(36876,36896) = 340144224