What is the Least Common Multiple of 73383 and 73393?

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 73383 and 73393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73383 and 73393, than apply into the LCM equation.

GCF(73383,73393) = 1
LCM(73383,73393) = ( 73383 × 73393) / 1
LCM(73383,73393) = 5385798519 / 1
LCM(73383,73393) = 5385798519

Least Common Multiple (LCM) of 73383 and 73393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73383 and 73393. First we will calculate the prime factors of 73383 and 73393.

Prime Factorization of 73383

Prime Factorization of 73393

Now multiplying the highest exponent prime factors to calculate the LCM of 73383 and 73393.

LCM(73383,73393) = 3¹ × 61¹ × 401¹ × 23¹ × 3191¹
LCM(73383,73393) = 5385798519