What is the Least Common Multiple of 37289 and 37296?

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 37289 and 37296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37289 and 37296, than apply into the LCM equation.

GCF(37289,37296) = 7
LCM(37289,37296) = ( 37289 × 37296) / 7
LCM(37289,37296) = 1390730544 / 7
LCM(37289,37296) = 198675792

Least Common Multiple (LCM) of 37289 and 37296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37289 and 37296. First we will calculate the prime factors of 37289 and 37296.

Prime Factorization of 37289

Prime Factorization of 37296

Now multiplying the highest exponent prime factors to calculate the LCM of 37289 and 37296.

LCM(37289,37296) = 7² × 761¹ × 2⁴ × 3² × 37¹
LCM(37289,37296) = 198675792