GCF and LCM Calculator Logo

What is the Least Common Multiple of 69238 and 69256?

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 69238 and 69256 is 2397573464.

LCM(69238,69256) = 2397573464

LCM Calculator and
and

Least Common Multiple of 69238 and 69256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69238 and 69256, than apply into the LCM equation.

GCF(69238,69256) = 2
LCM(69238,69256) = ( 69238 × 69256) / 2
LCM(69238,69256) = 4795146928 / 2
LCM(69238,69256) = 2397573464

Least Common Multiple (LCM) of 69238 and 69256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69238 and 69256. First we will calculate the prime factors of 69238 and 69256.

Prime Factorization of 69238

Prime factors of 69238 are 2, 13, 2663. Prime factorization of 69238 in exponential form is:

69238 = 21 × 131 × 26631

Prime Factorization of 69256

Prime factors of 69256 are 2, 11, 787. Prime factorization of 69256 in exponential form is:

69256 = 23 × 111 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 69238 and 69256.

LCM(69238,69256) = 23 × 131 × 26631 × 111 × 7871
LCM(69238,69256) = 2397573464