What is the Least Common Multiple of 36302 and 36319?

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 36302 and 36319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36302 and 36319, than apply into the LCM equation.

GCF(36302,36319) = 1
LCM(36302,36319) = ( 36302 × 36319) / 1
LCM(36302,36319) = 1318452338 / 1
LCM(36302,36319) = 1318452338

Least Common Multiple (LCM) of 36302 and 36319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36302 and 36319. First we will calculate the prime factors of 36302 and 36319.

Prime Factorization of 36302

Prime Factorization of 36319

Now multiplying the highest exponent prime factors to calculate the LCM of 36302 and 36319.

LCM(36302,36319) = 2¹ × 7¹ × 2593¹ × 36319¹
LCM(36302,36319) = 1318452338