What is the Least Common Multiple of 73059 and 73077?

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 73077 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 73077, than apply into the LCM equation.

GCF(73059,73077) = 3
LCM(73059,73077) = ( 73059 × 73077) / 3
LCM(73059,73077) = 5338932543 / 3
LCM(73059,73077) = 1779644181

Least Common Multiple (LCM) of 73059 and 73077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73059 and 73077. First we will calculate the prime factors of 73059 and 73077.

Prime Factorization of 73059

Prime Factorization of 73077

Now multiplying the highest exponent prime factors to calculate the LCM of 73059 and 73077.

LCM(73059,73077) = 3¹ × 7³ × 71¹ × 24359¹
LCM(73059,73077) = 1779644181