GCF and LCM Calculator Logo

What is the Least Common Multiple of 69274 and 69280?

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 69274 and 69280 is 2399651360.

LCM(69274,69280) = 2399651360

LCM Calculator and
and

Least Common Multiple of 69274 and 69280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69274 and 69280, than apply into the LCM equation.

GCF(69274,69280) = 2
LCM(69274,69280) = ( 69274 × 69280) / 2
LCM(69274,69280) = 4799302720 / 2
LCM(69274,69280) = 2399651360

Least Common Multiple (LCM) of 69274 and 69280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69274 and 69280. First we will calculate the prime factors of 69274 and 69280.

Prime Factorization of 69274

Prime factors of 69274 are 2, 19, 1823. Prime factorization of 69274 in exponential form is:

69274 = 21 × 191 × 18231

Prime Factorization of 69280

Prime factors of 69280 are 2, 5, 433. Prime factorization of 69280 in exponential form is:

69280 = 25 × 51 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 69274 and 69280.

LCM(69274,69280) = 25 × 191 × 18231 × 51 × 4331
LCM(69274,69280) = 2399651360