GCF and LCM Calculator Logo

What is the Least Common Multiple of 93946 and 93950?

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 93946 and 93950 is 4413113350.

LCM(93946,93950) = 4413113350

LCM Calculator and
and

Least Common Multiple of 93946 and 93950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93946 and 93950, than apply into the LCM equation.

GCF(93946,93950) = 2
LCM(93946,93950) = ( 93946 × 93950) / 2
LCM(93946,93950) = 8826226700 / 2
LCM(93946,93950) = 4413113350

Least Common Multiple (LCM) of 93946 and 93950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93946 and 93950. First we will calculate the prime factors of 93946 and 93950.

Prime Factorization of 93946

Prime factors of 93946 are 2, 107, 439. Prime factorization of 93946 in exponential form is:

93946 = 21 × 1071 × 4391

Prime Factorization of 93950

Prime factors of 93950 are 2, 5, 1879. Prime factorization of 93950 in exponential form is:

93950 = 21 × 52 × 18791

Now multiplying the highest exponent prime factors to calculate the LCM of 93946 and 93950.

LCM(93946,93950) = 21 × 1071 × 4391 × 52 × 18791
LCM(93946,93950) = 4413113350