What is the Least Common Multiple of 39517 and 39537?

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 39517 and 39537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39517 and 39537, than apply into the LCM equation.

GCF(39517,39537) = 1
LCM(39517,39537) = ( 39517 × 39537) / 1
LCM(39517,39537) = 1562383629 / 1
LCM(39517,39537) = 1562383629

Least Common Multiple (LCM) of 39517 and 39537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39517 and 39537. First we will calculate the prime factors of 39517 and 39537.

Prime Factorization of 39517

Prime Factorization of 39537

Now multiplying the highest exponent prime factors to calculate the LCM of 39517 and 39537.

LCM(39517,39537) = 43¹ × 919¹ × 3² × 23¹ × 191¹
LCM(39517,39537) = 1562383629