GCF and LCM Calculator Logo

What is the Least Common Multiple of 56130 and 56139?

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 56130 and 56139 is 1050360690.

LCM(56130,56139) = 1050360690

LCM Calculator and
and

Least Common Multiple of 56130 and 56139 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56130 and 56139, than apply into the LCM equation.

GCF(56130,56139) = 3
LCM(56130,56139) = ( 56130 × 56139) / 3
LCM(56130,56139) = 3151082070 / 3
LCM(56130,56139) = 1050360690

Least Common Multiple (LCM) of 56130 and 56139 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56130 and 56139. First we will calculate the prime factors of 56130 and 56139.

Prime Factorization of 56130

Prime factors of 56130 are 2, 3, 5, 1871. Prime factorization of 56130 in exponential form is:

56130 = 21 × 31 × 51 × 18711

Prime Factorization of 56139

Prime factors of 56139 are 3, 18713. Prime factorization of 56139 in exponential form is:

56139 = 31 × 187131

Now multiplying the highest exponent prime factors to calculate the LCM of 56130 and 56139.

LCM(56130,56139) = 21 × 31 × 51 × 18711 × 187131
LCM(56130,56139) = 1050360690