What is the Least Common Multiple of 79794 and 79810?

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 79794 and 79810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79794 and 79810, than apply into the LCM equation.

GCF(79794,79810) = 2
LCM(79794,79810) = ( 79794 × 79810) / 2
LCM(79794,79810) = 6368359140 / 2
LCM(79794,79810) = 3184179570

Least Common Multiple (LCM) of 79794 and 79810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79794 and 79810. First we will calculate the prime factors of 79794 and 79810.

Prime Factorization of 79794

Prime Factorization of 79810

Now multiplying the highest exponent prime factors to calculate the LCM of 79794 and 79810.

LCM(79794,79810) = 2¹ × 3² × 11¹ × 13¹ × 31¹ × 5¹ × 23¹ × 347¹
LCM(79794,79810) = 3184179570