What is the Least Common Multiple of 36896 and 36904?

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 36896 and 36904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36896 and 36904, than apply into the LCM equation.

GCF(36896,36904) = 8
LCM(36896,36904) = ( 36896 × 36904) / 8
LCM(36896,36904) = 1361609984 / 8
LCM(36896,36904) = 170201248

Least Common Multiple (LCM) of 36896 and 36904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36896 and 36904. First we will calculate the prime factors of 36896 and 36904.

Prime Factorization of 36896

Prime Factorization of 36904

Now multiplying the highest exponent prime factors to calculate the LCM of 36896 and 36904.

LCM(36896,36904) = 2⁵ × 1153¹ × 7¹ × 659¹
LCM(36896,36904) = 170201248