What is the Least Common Multiple of 73293 and 73298?

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 73293 and 73298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73293 and 73298, than apply into the LCM equation.

GCF(73293,73298) = 1
LCM(73293,73298) = ( 73293 × 73298) / 1
LCM(73293,73298) = 5372230314 / 1
LCM(73293,73298) = 5372230314

Least Common Multiple (LCM) of 73293 and 73298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73293 and 73298. First we will calculate the prime factors of 73293 and 73298.

Prime Factorization of 73293

Prime Factorization of 73298

Now multiplying the highest exponent prime factors to calculate the LCM of 73293 and 73298.

LCM(73293,73298) = 3¹ × 11¹ × 2221¹ × 2¹ × 67¹ × 547¹
LCM(73293,73298) = 5372230314