What is the Least Common Multiple of 73059 and 73069?

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 73059 and 73069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73059 and 73069, than apply into the LCM equation.

GCF(73059,73069) = 1
LCM(73059,73069) = ( 73059 × 73069) / 1
LCM(73059,73069) = 5338348071 / 1
LCM(73059,73069) = 5338348071

Least Common Multiple (LCM) of 73059 and 73069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73059 and 73069. First we will calculate the prime factors of 73059 and 73069.

Prime Factorization of 73059

Prime Factorization of 73069

Now multiplying the highest exponent prime factors to calculate the LCM of 73059 and 73069.

LCM(73059,73069) = 3¹ × 7³ × 71¹ × 89¹ × 821¹
LCM(73059,73069) = 5338348071