GCF and LCM Calculator Logo

What is the Least Common Multiple of 93249 and 93254?

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 93249 and 93254 is 8695842246.

LCM(93249,93254) = 8695842246

LCM Calculator and
and

Least Common Multiple of 93249 and 93254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93249 and 93254, than apply into the LCM equation.

GCF(93249,93254) = 1
LCM(93249,93254) = ( 93249 × 93254) / 1
LCM(93249,93254) = 8695842246 / 1
LCM(93249,93254) = 8695842246

Least Common Multiple (LCM) of 93249 and 93254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93249 and 93254. First we will calculate the prime factors of 93249 and 93254.

Prime Factorization of 93249

Prime factors of 93249 are 3, 13, 797. Prime factorization of 93249 in exponential form is:

93249 = 32 × 131 × 7971

Prime Factorization of 93254

Prime factors of 93254 are 2, 7, 6661. Prime factorization of 93254 in exponential form is:

93254 = 21 × 71 × 66611

Now multiplying the highest exponent prime factors to calculate the LCM of 93249 and 93254.

LCM(93249,93254) = 32 × 131 × 7971 × 21 × 71 × 66611
LCM(93249,93254) = 8695842246