What is the Least Common Multiple of 37284 and 37289?

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 37284 and 37289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37284 and 37289, than apply into the LCM equation.

GCF(37284,37289) = 1
LCM(37284,37289) = ( 37284 × 37289) / 1
LCM(37284,37289) = 1390283076 / 1
LCM(37284,37289) = 1390283076

Least Common Multiple (LCM) of 37284 and 37289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37284 and 37289. First we will calculate the prime factors of 37284 and 37289.

Prime Factorization of 37284

Prime Factorization of 37289

Now multiplying the highest exponent prime factors to calculate the LCM of 37284 and 37289.

LCM(37284,37289) = 2² × 3¹ × 13¹ × 239¹ × 7² × 761¹
LCM(37284,37289) = 1390283076