What is the Least Common Multiple of 73864 and 73878?

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 73864 and 73878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73864 and 73878, than apply into the LCM equation.

GCF(73864,73878) = 14
LCM(73864,73878) = ( 73864 × 73878) / 14
LCM(73864,73878) = 5456924592 / 14
LCM(73864,73878) = 389780328

Least Common Multiple (LCM) of 73864 and 73878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73864 and 73878. First we will calculate the prime factors of 73864 and 73878.

Prime Factorization of 73864

Prime Factorization of 73878

Now multiplying the highest exponent prime factors to calculate the LCM of 73864 and 73878.

LCM(73864,73878) = 2³ × 7¹ × 1319¹ × 3¹ × 1759¹
LCM(73864,73878) = 389780328