What is the Least Common Multiple of 73299 and 73319?

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 73299 and 73319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73299 and 73319, than apply into the LCM equation.

GCF(73299,73319) = 1
LCM(73299,73319) = ( 73299 × 73319) / 1
LCM(73299,73319) = 5374209381 / 1
LCM(73299,73319) = 5374209381

Least Common Multiple (LCM) of 73299 and 73319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73299 and 73319. First we will calculate the prime factors of 73299 and 73319.

Prime Factorization of 73299

Prime Factorization of 73319

Now multiplying the highest exponent prime factors to calculate the LCM of 73299 and 73319.

LCM(73299,73319) = 3¹ × 53¹ × 461¹ × 157¹ × 467¹
LCM(73299,73319) = 5374209381