What is the Least Common Multiple of 36279 and 36289?

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 36279 and 36289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36279 and 36289, than apply into the LCM equation.

GCF(36279,36289) = 1
LCM(36279,36289) = ( 36279 × 36289) / 1
LCM(36279,36289) = 1316528631 / 1
LCM(36279,36289) = 1316528631

Least Common Multiple (LCM) of 36279 and 36289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36279 and 36289. First we will calculate the prime factors of 36279 and 36289.

Prime Factorization of 36279

Prime Factorization of 36289

Now multiplying the highest exponent prime factors to calculate the LCM of 36279 and 36289.

LCM(36279,36289) = 3² × 29¹ × 139¹ × 11¹ × 3299¹
LCM(36279,36289) = 1316528631