What is the Least Common Multiple of 73337 and 73353?

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 73337 and 73353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73337 and 73353, than apply into the LCM equation.

GCF(73337,73353) = 1
LCM(73337,73353) = ( 73337 × 73353) / 1
LCM(73337,73353) = 5379488961 / 1
LCM(73337,73353) = 5379488961

Least Common Multiple (LCM) of 73337 and 73353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73337 and 73353. First we will calculate the prime factors of 73337 and 73353.

Prime Factorization of 73337

Prime Factorization of 73353

Now multiplying the highest exponent prime factors to calculate the LCM of 73337 and 73353.

LCM(73337,73353) = 11¹ × 59¹ × 113¹ × 3¹ × 7² × 499¹
LCM(73337,73353) = 5379488961