What is the Least Common Multiple of 79825 and 79844?

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 79825 and 79844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79825 and 79844, than apply into the LCM equation.

GCF(79825,79844) = 1
LCM(79825,79844) = ( 79825 × 79844) / 1
LCM(79825,79844) = 6373547300 / 1
LCM(79825,79844) = 6373547300

Least Common Multiple (LCM) of 79825 and 79844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79825 and 79844. First we will calculate the prime factors of 79825 and 79844.

Prime Factorization of 79825

Prime Factorization of 79844

Now multiplying the highest exponent prime factors to calculate the LCM of 79825 and 79844.

LCM(79825,79844) = 5² × 31¹ × 103¹ × 2² × 19961¹
LCM(79825,79844) = 6373547300