GCF and LCM Calculator Logo

What is the Least Common Multiple of 93939 and 93943?

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 93939 and 93943 is 8824911477.

LCM(93939,93943) = 8824911477

LCM Calculator and
and

Least Common Multiple of 93939 and 93943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93939 and 93943, than apply into the LCM equation.

GCF(93939,93943) = 1
LCM(93939,93943) = ( 93939 × 93943) / 1
LCM(93939,93943) = 8824911477 / 1
LCM(93939,93943) = 8824911477

Least Common Multiple (LCM) of 93939 and 93943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93939 and 93943. First we will calculate the prime factors of 93939 and 93943.

Prime Factorization of 93939

Prime factors of 93939 are 3, 173, 181. Prime factorization of 93939 in exponential form is:

93939 = 31 × 1731 × 1811

Prime Factorization of 93943

Prime factors of 93943 are 37, 2539. Prime factorization of 93943 in exponential form is:

93943 = 371 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 93939 and 93943.

LCM(93939,93943) = 31 × 1731 × 1811 × 371 × 25391
LCM(93939,93943) = 8824911477