What is the Least Common Multiple of 78563 and 78571?

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 78563 and 78571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78563 and 78571, than apply into the LCM equation.

GCF(78563,78571) = 1
LCM(78563,78571) = ( 78563 × 78571) / 1
LCM(78563,78571) = 6172773473 / 1
LCM(78563,78571) = 6172773473

Least Common Multiple (LCM) of 78563 and 78571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78563 and 78571. First we will calculate the prime factors of 78563 and 78571.

Prime Factorization of 78563

Prime Factorization of 78571

Now multiplying the highest exponent prime factors to calculate the LCM of 78563 and 78571.

LCM(78563,78571) = 251¹ × 313¹ × 78571¹
LCM(78563,78571) = 6172773473