What is the Least Common Multiple of 36489 and 36496?

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 36489 and 36496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36489 and 36496, than apply into the LCM equation.

GCF(36489,36496) = 1
LCM(36489,36496) = ( 36489 × 36496) / 1
LCM(36489,36496) = 1331702544 / 1
LCM(36489,36496) = 1331702544

Least Common Multiple (LCM) of 36489 and 36496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36489 and 36496. First we will calculate the prime factors of 36489 and 36496.

Prime Factorization of 36489

Prime Factorization of 36496

Now multiplying the highest exponent prime factors to calculate the LCM of 36489 and 36496.

LCM(36489,36496) = 3¹ × 12163¹ × 2⁴ × 2281¹
LCM(36489,36496) = 1331702544