What is the Least Common Multiple of 79804 and 79823?

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 79804 and 79823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79804 and 79823, than apply into the LCM equation.

GCF(79804,79823) = 1
LCM(79804,79823) = ( 79804 × 79823) / 1
LCM(79804,79823) = 6370194692 / 1
LCM(79804,79823) = 6370194692

Least Common Multiple (LCM) of 79804 and 79823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79804 and 79823. First we will calculate the prime factors of 79804 and 79823.

Prime Factorization of 79804

Prime Factorization of 79823

Now multiplying the highest exponent prime factors to calculate the LCM of 79804 and 79823.

LCM(79804,79823) = 2² × 71¹ × 281¹ × 79823¹
LCM(79804,79823) = 6370194692