GCF and LCM Calculator Logo

What is the Least Common Multiple of 69005 and 69016?

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 69005 and 69016 is 4762449080.

LCM(69005,69016) = 4762449080

LCM Calculator and
and

Least Common Multiple of 69005 and 69016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69005 and 69016, than apply into the LCM equation.

GCF(69005,69016) = 1
LCM(69005,69016) = ( 69005 × 69016) / 1
LCM(69005,69016) = 4762449080 / 1
LCM(69005,69016) = 4762449080

Least Common Multiple (LCM) of 69005 and 69016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69005 and 69016. First we will calculate the prime factors of 69005 and 69016.

Prime Factorization of 69005

Prime factors of 69005 are 5, 37, 373. Prime factorization of 69005 in exponential form is:

69005 = 51 × 371 × 3731

Prime Factorization of 69016

Prime factors of 69016 are 2, 8627. Prime factorization of 69016 in exponential form is:

69016 = 23 × 86271

Now multiplying the highest exponent prime factors to calculate the LCM of 69005 and 69016.

LCM(69005,69016) = 51 × 371 × 3731 × 23 × 86271
LCM(69005,69016) = 4762449080