What is the Least Common Multiple of 74889 and 74904?

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 74889 and 74904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74889 and 74904, than apply into the LCM equation.

GCF(74889,74904) = 3
LCM(74889,74904) = ( 74889 × 74904) / 3
LCM(74889,74904) = 5609485656 / 3
LCM(74889,74904) = 1869828552

Least Common Multiple (LCM) of 74889 and 74904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74889 and 74904. First we will calculate the prime factors of 74889 and 74904.

Prime Factorization of 74889

Prime Factorization of 74904

Now multiplying the highest exponent prime factors to calculate the LCM of 74889 and 74904.

LCM(74889,74904) = 3² × 53¹ × 157¹ × 2³ × 3121¹
LCM(74889,74904) = 1869828552