What is the Least Common Multiple of 79804 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 79804 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 79804 and 79808, than apply into the LCM equation.

GCF(79804,79808) = 4
LCM(79804,79808) = ( 79804 × 79808) / 4
LCM(79804,79808) = 6368997632 / 4
LCM(79804,79808) = 1592249408

Least Common Multiple (LCM) of 79804 and 79808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79804 and 79808. First we will calculate the prime factors of 79804 and 79808.

Prime Factorization of 79804

Prime Factorization of 79808

Now multiplying the highest exponent prime factors to calculate the LCM of 79804 and 79808.

LCM(79804,79808) = 2⁶ × 71¹ × 281¹ × 29¹ × 43¹
LCM(79804,79808) = 1592249408