What is the Least Common Multiple of 36096 and 36103?

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 36096 and 36103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36096 and 36103, than apply into the LCM equation.

GCF(36096,36103) = 1
LCM(36096,36103) = ( 36096 × 36103) / 1
LCM(36096,36103) = 1303173888 / 1
LCM(36096,36103) = 1303173888

Least Common Multiple (LCM) of 36096 and 36103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36096 and 36103. First we will calculate the prime factors of 36096 and 36103.

Prime Factorization of 36096

Prime Factorization of 36103

Now multiplying the highest exponent prime factors to calculate the LCM of 36096 and 36103.

LCM(36096,36103) = 2⁸ × 3¹ × 47¹ × 79¹ × 457¹
LCM(36096,36103) = 1303173888