What is the Least Common Multiple of 73848 and 73856?

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 73848 and 73856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73848 and 73856, than apply into the LCM equation.

GCF(73848,73856) = 8
LCM(73848,73856) = ( 73848 × 73856) / 8
LCM(73848,73856) = 5454117888 / 8
LCM(73848,73856) = 681764736

Least Common Multiple (LCM) of 73848 and 73856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73848 and 73856. First we will calculate the prime factors of 73848 and 73856.

Prime Factorization of 73848

Prime Factorization of 73856

Now multiplying the highest exponent prime factors to calculate the LCM of 73848 and 73856.

LCM(73848,73856) = 2⁷ × 3¹ × 17¹ × 181¹ × 577¹
LCM(73848,73856) = 681764736