What is the Least Common Multiple of 73319 and 73337?

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 73319 and 73337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73319 and 73337, than apply into the LCM equation.

GCF(73319,73337) = 1
LCM(73319,73337) = ( 73319 × 73337) / 1
LCM(73319,73337) = 5376995503 / 1
LCM(73319,73337) = 5376995503

Least Common Multiple (LCM) of 73319 and 73337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73319 and 73337. First we will calculate the prime factors of 73319 and 73337.

Prime Factorization of 73319

Prime Factorization of 73337

Now multiplying the highest exponent prime factors to calculate the LCM of 73319 and 73337.

LCM(73319,73337) = 157¹ × 467¹ × 11¹ × 59¹ × 113¹
LCM(73319,73337) = 5376995503