What is the Least Common Multiple of 79842 and 79856?

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 79842 and 79856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79842 and 79856, than apply into the LCM equation.

GCF(79842,79856) = 14
LCM(79842,79856) = ( 79842 × 79856) / 14
LCM(79842,79856) = 6375862752 / 14
LCM(79842,79856) = 455418768

Least Common Multiple (LCM) of 79842 and 79856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79842 and 79856. First we will calculate the prime factors of 79842 and 79856.

Prime Factorization of 79842

Prime Factorization of 79856

Now multiplying the highest exponent prime factors to calculate the LCM of 79842 and 79856.

LCM(79842,79856) = 2⁴ × 3¹ × 7¹ × 1901¹ × 23¹ × 31¹
LCM(79842,79856) = 455418768