What is the Least Common Multiple of 79791 and 79808?

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 79791 and 79808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79791 and 79808, than apply into the LCM equation.

GCF(79791,79808) = 1
LCM(79791,79808) = ( 79791 × 79808) / 1
LCM(79791,79808) = 6367960128 / 1
LCM(79791,79808) = 6367960128

Least Common Multiple (LCM) of 79791 and 79808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79791 and 79808. First we will calculate the prime factors of 79791 and 79808.

Prime Factorization of 79791

Prime Factorization of 79808

Now multiplying the highest exponent prime factors to calculate the LCM of 79791 and 79808.

LCM(79791,79808) = 3¹ × 26597¹ × 2⁶ × 29¹ × 43¹
LCM(79791,79808) = 6367960128