GCF and LCM Calculator Logo

What is the Least Common Multiple of 69007 and 69026?

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 69007 and 69026 is 4763277182.

LCM(69007,69026) = 4763277182

LCM Calculator and
and

Least Common Multiple of 69007 and 69026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69007 and 69026, than apply into the LCM equation.

GCF(69007,69026) = 1
LCM(69007,69026) = ( 69007 × 69026) / 1
LCM(69007,69026) = 4763277182 / 1
LCM(69007,69026) = 4763277182

Least Common Multiple (LCM) of 69007 and 69026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69007 and 69026. First we will calculate the prime factors of 69007 and 69026.

Prime Factorization of 69007

Prime factors of 69007 are 151, 457. Prime factorization of 69007 in exponential form is:

69007 = 1511 × 4571

Prime Factorization of 69026

Prime factors of 69026 are 2, 34513. Prime factorization of 69026 in exponential form is:

69026 = 21 × 345131

Now multiplying the highest exponent prime factors to calculate the LCM of 69007 and 69026.

LCM(69007,69026) = 1511 × 4571 × 21 × 345131
LCM(69007,69026) = 4763277182