What is the Least Common Multiple of 79792 and 79804?

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 79792 and 79804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79792 and 79804, than apply into the LCM equation.

GCF(79792,79804) = 4
LCM(79792,79804) = ( 79792 × 79804) / 4
LCM(79792,79804) = 6367720768 / 4
LCM(79792,79804) = 1591930192

Least Common Multiple (LCM) of 79792 and 79804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79792 and 79804. First we will calculate the prime factors of 79792 and 79804.

Prime Factorization of 79792

Prime Factorization of 79804

Now multiplying the highest exponent prime factors to calculate the LCM of 79792 and 79804.

LCM(79792,79804) = 2⁴ × 4987¹ × 71¹ × 281¹
LCM(79792,79804) = 1591930192