GCF and LCM Calculator Logo

What is the Least Common Multiple of 59173 and 59183?

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 59173 and 59183 is 3502035659.

LCM(59173,59183) = 3502035659

LCM Calculator and
and

Least Common Multiple of 59173 and 59183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59173 and 59183, than apply into the LCM equation.

GCF(59173,59183) = 1
LCM(59173,59183) = ( 59173 × 59183) / 1
LCM(59173,59183) = 3502035659 / 1
LCM(59173,59183) = 3502035659

Least Common Multiple (LCM) of 59173 and 59183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59173 and 59183. First we will calculate the prime factors of 59173 and 59183.

Prime Factorization of 59173

Prime factors of 59173 are 47, 1259. Prime factorization of 59173 in exponential form is:

59173 = 471 × 12591

Prime Factorization of 59183

Prime factors of 59183 are 59183. Prime factorization of 59183 in exponential form is:

59183 = 591831

Now multiplying the highest exponent prime factors to calculate the LCM of 59173 and 59183.

LCM(59173,59183) = 471 × 12591 × 591831
LCM(59173,59183) = 3502035659