What is the Least Common Multiple of 37580 and 37593?

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 37580 and 37593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37580 and 37593, than apply into the LCM equation.

GCF(37580,37593) = 1
LCM(37580,37593) = ( 37580 × 37593) / 1
LCM(37580,37593) = 1412744940 / 1
LCM(37580,37593) = 1412744940

Least Common Multiple (LCM) of 37580 and 37593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37580 and 37593. First we will calculate the prime factors of 37580 and 37593.

Prime Factorization of 37580

Prime Factorization of 37593

Now multiplying the highest exponent prime factors to calculate the LCM of 37580 and 37593.

LCM(37580,37593) = 2² × 5¹ × 1879¹ × 3² × 4177¹
LCM(37580,37593) = 1412744940