What is the Least Common Multiple of 30302 and 30319?

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 30302 and 30319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30302 and 30319, than apply into the LCM equation.

GCF(30302,30319) = 1
LCM(30302,30319) = ( 30302 × 30319) / 1
LCM(30302,30319) = 918726338 / 1
LCM(30302,30319) = 918726338

Least Common Multiple (LCM) of 30302 and 30319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30302 and 30319. First we will calculate the prime factors of 30302 and 30319.

Prime Factorization of 30302

Prime Factorization of 30319

Now multiplying the highest exponent prime factors to calculate the LCM of 30302 and 30319.

LCM(30302,30319) = 2¹ × 109¹ × 139¹ × 30319¹
LCM(30302,30319) = 918726338