What is the Least Common Multiple of 73888 and 73898?

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 73888 and 73898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73888 and 73898, than apply into the LCM equation.

GCF(73888,73898) = 2
LCM(73888,73898) = ( 73888 × 73898) / 2
LCM(73888,73898) = 5460175424 / 2
LCM(73888,73898) = 2730087712

Least Common Multiple (LCM) of 73888 and 73898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73888 and 73898. First we will calculate the prime factors of 73888 and 73898.

Prime Factorization of 73888

Prime Factorization of 73898

Now multiplying the highest exponent prime factors to calculate the LCM of 73888 and 73898.

LCM(73888,73898) = 2⁵ × 2309¹ × 11¹ × 3359¹
LCM(73888,73898) = 2730087712