What is the Least Common Multiple of 73885 and 73889?

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 73885 and 73889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73885 and 73889, than apply into the LCM equation.

GCF(73885,73889) = 1
LCM(73885,73889) = ( 73885 × 73889) / 1
LCM(73885,73889) = 5459288765 / 1
LCM(73885,73889) = 5459288765

Least Common Multiple (LCM) of 73885 and 73889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73885 and 73889. First we will calculate the prime factors of 73885 and 73889.

Prime Factorization of 73885

Prime Factorization of 73889

Now multiplying the highest exponent prime factors to calculate the LCM of 73885 and 73889.

LCM(73885,73889) = 5¹ × 7¹ × 2111¹ × 37¹ × 1997¹
LCM(73885,73889) = 5459288765