What is the Least Common Multiple of 56301 and 56319?

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 56301 and 56319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56301 and 56319, than apply into the LCM equation.

GCF(56301,56319) = 3
LCM(56301,56319) = ( 56301 × 56319) / 3
LCM(56301,56319) = 3170816019 / 3
LCM(56301,56319) = 1056938673

Least Common Multiple (LCM) of 56301 and 56319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56301 and 56319. First we will calculate the prime factors of 56301 and 56319.

Prime Factorization of 56301

Prime Factorization of 56319

Now multiplying the highest exponent prime factors to calculate the LCM of 56301 and 56319.

LCM(56301,56319) = 3¹ × 7² × 383¹ × 18773¹
LCM(56301,56319) = 1056938673