GCF and LCM Calculator Logo

What is the Least Common Multiple of 69265 and 69272?

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 69265 and 69272 is 685446440.

LCM(69265,69272) = 685446440

LCM Calculator and
and

Least Common Multiple of 69265 and 69272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69265 and 69272, than apply into the LCM equation.

GCF(69265,69272) = 7
LCM(69265,69272) = ( 69265 × 69272) / 7
LCM(69265,69272) = 4798125080 / 7
LCM(69265,69272) = 685446440

Least Common Multiple (LCM) of 69265 and 69272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69265 and 69272. First we will calculate the prime factors of 69265 and 69272.

Prime Factorization of 69265

Prime factors of 69265 are 5, 7, 1979. Prime factorization of 69265 in exponential form is:

69265 = 51 × 71 × 19791

Prime Factorization of 69272

Prime factors of 69272 are 2, 7, 1237. Prime factorization of 69272 in exponential form is:

69272 = 23 × 71 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 69265 and 69272.

LCM(69265,69272) = 51 × 71 × 19791 × 23 × 12371
LCM(69265,69272) = 685446440