GCF and LCM Calculator Logo

What is the Least Common Multiple of 69430 and 69449?

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 69430 and 69449 is 4821844070.

LCM(69430,69449) = 4821844070

LCM Calculator and
and

Least Common Multiple of 69430 and 69449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69430 and 69449, than apply into the LCM equation.

GCF(69430,69449) = 1
LCM(69430,69449) = ( 69430 × 69449) / 1
LCM(69430,69449) = 4821844070 / 1
LCM(69430,69449) = 4821844070

Least Common Multiple (LCM) of 69430 and 69449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69430 and 69449. First we will calculate the prime factors of 69430 and 69449.

Prime Factorization of 69430

Prime factors of 69430 are 2, 5, 53, 131. Prime factorization of 69430 in exponential form is:

69430 = 21 × 51 × 531 × 1311

Prime Factorization of 69449

Prime factors of 69449 are 37, 1877. Prime factorization of 69449 in exponential form is:

69449 = 371 × 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 69430 and 69449.

LCM(69430,69449) = 21 × 51 × 531 × 1311 × 371 × 18771
LCM(69430,69449) = 4821844070