GCF and LCM Calculator Logo

What is the Least Common Multiple of 73390 and 73399?

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 (LCM) of 73390 and 73399 is 5386752610.

LCM(73390,73399) = 5386752610

LCM Calculator and
and

Least Common Multiple of 73390 and 73399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73390 and 73399, than apply into the LCM equation.

GCF(73390,73399) = 1
LCM(73390,73399) = ( 73390 × 73399) / 1
LCM(73390,73399) = 5386752610 / 1
LCM(73390,73399) = 5386752610

Least Common Multiple (LCM) of 73390 and 73399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73390 and 73399. First we will calculate the prime factors of 73390 and 73399.

Prime Factorization of 73390

Prime factors of 73390 are 2, 5, 41, 179. Prime factorization of 73390 in exponential form is:

73390 = 21 × 51 × 411 × 1791

Prime Factorization of 73399

Prime factors of 73399 are 29, 2531. Prime factorization of 73399 in exponential form is:

73399 = 291 × 25311

Now multiplying the highest exponent prime factors to calculate the LCM of 73390 and 73399.

LCM(73390,73399) = 21 × 51 × 411 × 1791 × 291 × 25311
LCM(73390,73399) = 5386752610