What is the Least Common Multiple of 36419 and 36431?

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 36419 and 36431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36419 and 36431, than apply into the LCM equation.

GCF(36419,36431) = 1
LCM(36419,36431) = ( 36419 × 36431) / 1
LCM(36419,36431) = 1326780589 / 1
LCM(36419,36431) = 1326780589

Least Common Multiple (LCM) of 36419 and 36431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36419 and 36431. First we will calculate the prime factors of 36419 and 36431.

Prime Factorization of 36419

Prime Factorization of 36431

Now multiplying the highest exponent prime factors to calculate the LCM of 36419 and 36431.

LCM(36419,36431) = 79¹ × 461¹ × 17¹ × 2143¹
LCM(36419,36431) = 1326780589