GCF and LCM Calculator Logo

What is the Least Common Multiple of 93925 and 93936?

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 93925 and 93936 is 8822938800.

LCM(93925,93936) = 8822938800

LCM Calculator and
and

Least Common Multiple of 93925 and 93936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93925 and 93936, than apply into the LCM equation.

GCF(93925,93936) = 1
LCM(93925,93936) = ( 93925 × 93936) / 1
LCM(93925,93936) = 8822938800 / 1
LCM(93925,93936) = 8822938800

Least Common Multiple (LCM) of 93925 and 93936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93925 and 93936. First we will calculate the prime factors of 93925 and 93936.

Prime Factorization of 93925

Prime factors of 93925 are 5, 13, 17. Prime factorization of 93925 in exponential form is:

93925 = 52 × 131 × 172

Prime Factorization of 93936

Prime factors of 93936 are 2, 3, 19, 103. Prime factorization of 93936 in exponential form is:

93936 = 24 × 31 × 191 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 93925 and 93936.

LCM(93925,93936) = 52 × 131 × 172 × 24 × 31 × 191 × 1031
LCM(93925,93936) = 8822938800