GCF and LCM Calculator Logo

What is the Least Common Multiple of 69070 and 69086?

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 69070 and 69086 is 2385885010.

LCM(69070,69086) = 2385885010

LCM Calculator and
and

Least Common Multiple of 69070 and 69086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69070 and 69086, than apply into the LCM equation.

GCF(69070,69086) = 2
LCM(69070,69086) = ( 69070 × 69086) / 2
LCM(69070,69086) = 4771770020 / 2
LCM(69070,69086) = 2385885010

Least Common Multiple (LCM) of 69070 and 69086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69070 and 69086. First we will calculate the prime factors of 69070 and 69086.

Prime Factorization of 69070

Prime factors of 69070 are 2, 5, 6907. Prime factorization of 69070 in exponential form is:

69070 = 21 × 51 × 69071

Prime Factorization of 69086

Prime factors of 69086 are 2, 34543. Prime factorization of 69086 in exponential form is:

69086 = 21 × 345431

Now multiplying the highest exponent prime factors to calculate the LCM of 69070 and 69086.

LCM(69070,69086) = 21 × 51 × 69071 × 345431
LCM(69070,69086) = 2385885010