What is the Least Common Multiple of 36477 and 36497?

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 36477 and 36497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36477 and 36497, than apply into the LCM equation.

GCF(36477,36497) = 1
LCM(36477,36497) = ( 36477 × 36497) / 1
LCM(36477,36497) = 1331301069 / 1
LCM(36477,36497) = 1331301069

Least Common Multiple (LCM) of 36477 and 36497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36477 and 36497. First we will calculate the prime factors of 36477 and 36497.

Prime Factorization of 36477

Prime Factorization of 36497

Now multiplying the highest exponent prime factors to calculate the LCM of 36477 and 36497.

LCM(36477,36497) = 3³ × 7¹ × 193¹ × 36497¹
LCM(36477,36497) = 1331301069