GCF and LCM Calculator Logo

What is the Least Common Multiple of 69278 and 69284?

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 69278 and 69284 is 2399928476.

LCM(69278,69284) = 2399928476

LCM Calculator and
and

Least Common Multiple of 69278 and 69284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69278 and 69284, than apply into the LCM equation.

GCF(69278,69284) = 2
LCM(69278,69284) = ( 69278 × 69284) / 2
LCM(69278,69284) = 4799856952 / 2
LCM(69278,69284) = 2399928476

Least Common Multiple (LCM) of 69278 and 69284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69278 and 69284. First we will calculate the prime factors of 69278 and 69284.

Prime Factorization of 69278

Prime factors of 69278 are 2, 11, 47, 67. Prime factorization of 69278 in exponential form is:

69278 = 21 × 111 × 471 × 671

Prime Factorization of 69284

Prime factors of 69284 are 2, 17321. Prime factorization of 69284 in exponential form is:

69284 = 22 × 173211

Now multiplying the highest exponent prime factors to calculate the LCM of 69278 and 69284.

LCM(69278,69284) = 22 × 111 × 471 × 671 × 173211
LCM(69278,69284) = 2399928476