What is the Least Common Multiple of 78523 and 78538?

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 78523 and 78538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78523 and 78538, than apply into the LCM equation.

GCF(78523,78538) = 1
LCM(78523,78538) = ( 78523 × 78538) / 1
LCM(78523,78538) = 6167039374 / 1
LCM(78523,78538) = 6167039374

Least Common Multiple (LCM) of 78523 and 78538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78523 and 78538. First we will calculate the prime factors of 78523 and 78538.

Prime Factorization of 78523

Prime Factorization of 78538

Now multiplying the highest exponent prime factors to calculate the LCM of 78523 and 78538.

LCM(78523,78538) = 17¹ × 31¹ × 149¹ × 2¹ × 107¹ × 367¹
LCM(78523,78538) = 6167039374