What is the Least Common Multiple of 37580 and 37597?

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 37597 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 37597, than apply into the LCM equation.

GCF(37580,37597) = 1
LCM(37580,37597) = ( 37580 × 37597) / 1
LCM(37580,37597) = 1412895260 / 1
LCM(37580,37597) = 1412895260

Least Common Multiple (LCM) of 37580 and 37597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37580 and 37597. First we will calculate the prime factors of 37580 and 37597.

Prime Factorization of 37580

Prime Factorization of 37597

Now multiplying the highest exponent prime factors to calculate the LCM of 37580 and 37597.

LCM(37580,37597) = 2² × 5¹ × 1879¹ × 7¹ × 41¹ × 131¹
LCM(37580,37597) = 1412895260