GCF and LCM Calculator Logo

What is the Least Common Multiple of 93243 and 93259?

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 93243 and 93259 is 8695748937.

LCM(93243,93259) = 8695748937

LCM Calculator and
and

Least Common Multiple of 93243 and 93259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93243 and 93259, than apply into the LCM equation.

GCF(93243,93259) = 1
LCM(93243,93259) = ( 93243 × 93259) / 1
LCM(93243,93259) = 8695748937 / 1
LCM(93243,93259) = 8695748937

Least Common Multiple (LCM) of 93243 and 93259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93243 and 93259. First we will calculate the prime factors of 93243 and 93259.

Prime Factorization of 93243

Prime factors of 93243 are 3, 31081. Prime factorization of 93243 in exponential form is:

93243 = 31 × 310811

Prime Factorization of 93259

Prime factors of 93259 are 179, 521. Prime factorization of 93259 in exponential form is:

93259 = 1791 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 93243 and 93259.

LCM(93243,93259) = 31 × 310811 × 1791 × 5211
LCM(93243,93259) = 8695748937