GCF and LCM Calculator Logo

What is the Least Common Multiple of 88309 and 88326?

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 88309 and 88326 is 7799980734.

LCM(88309,88326) = 7799980734

LCM Calculator and
and

Least Common Multiple of 88309 and 88326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88309 and 88326, than apply into the LCM equation.

GCF(88309,88326) = 1
LCM(88309,88326) = ( 88309 × 88326) / 1
LCM(88309,88326) = 7799980734 / 1
LCM(88309,88326) = 7799980734

Least Common Multiple (LCM) of 88309 and 88326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88309 and 88326. First we will calculate the prime factors of 88309 and 88326.

Prime Factorization of 88309

Prime factors of 88309 are 13, 6793. Prime factorization of 88309 in exponential form is:

88309 = 131 × 67931

Prime Factorization of 88326

Prime factors of 88326 are 2, 3, 7, 701. Prime factorization of 88326 in exponential form is:

88326 = 21 × 32 × 71 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 88309 and 88326.

LCM(88309,88326) = 131 × 67931 × 21 × 32 × 71 × 7011
LCM(88309,88326) = 7799980734