GCF and LCM Calculator Logo

What is the Least Common Multiple of 93583 and 93593?

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 93583 and 93593 is 8758713719.

LCM(93583,93593) = 8758713719

LCM Calculator and
and

Least Common Multiple of 93583 and 93593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93583 and 93593, than apply into the LCM equation.

GCF(93583,93593) = 1
LCM(93583,93593) = ( 93583 × 93593) / 1
LCM(93583,93593) = 8758713719 / 1
LCM(93583,93593) = 8758713719

Least Common Multiple (LCM) of 93583 and 93593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93583 and 93593. First we will calculate the prime factors of 93583 and 93593.

Prime Factorization of 93583

Prime factors of 93583 are 7, 29, 461. Prime factorization of 93583 in exponential form is:

93583 = 71 × 291 × 4611

Prime Factorization of 93593

Prime factors of 93593 are 173, 541. Prime factorization of 93593 in exponential form is:

93593 = 1731 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 93583 and 93593.

LCM(93583,93593) = 71 × 291 × 4611 × 1731 × 5411
LCM(93583,93593) = 8758713719