What is the Least Common Multiple of 79566 and 79571?

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 79566 and 79571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79566 and 79571, than apply into the LCM equation.

GCF(79566,79571) = 1
LCM(79566,79571) = ( 79566 × 79571) / 1
LCM(79566,79571) = 6331146186 / 1
LCM(79566,79571) = 6331146186

Least Common Multiple (LCM) of 79566 and 79571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79566 and 79571. First we will calculate the prime factors of 79566 and 79571.

Prime Factorization of 79566

Prime Factorization of 79571

Now multiplying the highest exponent prime factors to calculate the LCM of 79566 and 79571.

LCM(79566,79571) = 2¹ × 3¹ × 89¹ × 149¹ × 47¹ × 1693¹
LCM(79566,79571) = 6331146186