GCF and LCM Calculator Logo

What is the Least Common Multiple of 69291 and 69304?

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 69291 and 69304 is 4802143464.

LCM(69291,69304) = 4802143464

LCM Calculator and
and

Least Common Multiple of 69291 and 69304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69291 and 69304, than apply into the LCM equation.

GCF(69291,69304) = 1
LCM(69291,69304) = ( 69291 × 69304) / 1
LCM(69291,69304) = 4802143464 / 1
LCM(69291,69304) = 4802143464

Least Common Multiple (LCM) of 69291 and 69304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69291 and 69304. First we will calculate the prime factors of 69291 and 69304.

Prime Factorization of 69291

Prime factors of 69291 are 3, 7699. Prime factorization of 69291 in exponential form is:

69291 = 32 × 76991

Prime Factorization of 69304

Prime factors of 69304 are 2, 8663. Prime factorization of 69304 in exponential form is:

69304 = 23 × 86631

Now multiplying the highest exponent prime factors to calculate the LCM of 69291 and 69304.

LCM(69291,69304) = 32 × 76991 × 23 × 86631
LCM(69291,69304) = 4802143464