What is the Least Common Multiple of 79833 and 79848?

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 79833 and 79848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79833 and 79848, than apply into the LCM equation.

GCF(79833,79848) = 3
LCM(79833,79848) = ( 79833 × 79848) / 3
LCM(79833,79848) = 6374505384 / 3
LCM(79833,79848) = 2124835128

Least Common Multiple (LCM) of 79833 and 79848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79833 and 79848. First we will calculate the prime factors of 79833 and 79848.

Prime Factorization of 79833

Prime Factorization of 79848

Now multiplying the highest exponent prime factors to calculate the LCM of 79833 and 79848.

LCM(79833,79848) = 3² × 13¹ × 23¹ × 89¹ × 2³ × 1109¹
LCM(79833,79848) = 2124835128