GCF and LCM Calculator Logo

What is the Least Common Multiple of 56489 and 56506?

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 56489 and 56506 is 3191967434.

LCM(56489,56506) = 3191967434

LCM Calculator and
and

Least Common Multiple of 56489 and 56506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56489 and 56506, than apply into the LCM equation.

GCF(56489,56506) = 1
LCM(56489,56506) = ( 56489 × 56506) / 1
LCM(56489,56506) = 3191967434 / 1
LCM(56489,56506) = 3191967434

Least Common Multiple (LCM) of 56489 and 56506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56489 and 56506. First we will calculate the prime factors of 56489 and 56506.

Prime Factorization of 56489

Prime factors of 56489 are 56489. Prime factorization of 56489 in exponential form is:

56489 = 564891

Prime Factorization of 56506

Prime factors of 56506 are 2, 19, 1487. Prime factorization of 56506 in exponential form is:

56506 = 21 × 191 × 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 56489 and 56506.

LCM(56489,56506) = 564891 × 21 × 191 × 14871
LCM(56489,56506) = 3191967434