What is the Least Common Multiple of 76397 and 76417?

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 76397 and 76417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76397 and 76417, than apply into the LCM equation.

GCF(76397,76417) = 1
LCM(76397,76417) = ( 76397 × 76417) / 1
LCM(76397,76417) = 5838029549 / 1
LCM(76397,76417) = 5838029549

Least Common Multiple (LCM) of 76397 and 76417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76397 and 76417. First we will calculate the prime factors of 76397 and 76417.

Prime Factorization of 76397

Prime Factorization of 76417

Now multiplying the highest exponent prime factors to calculate the LCM of 76397 and 76417.

LCM(76397,76417) = 241¹ × 317¹ × 11¹ × 6947¹
LCM(76397,76417) = 5838029549