GCF and LCM Calculator Logo

What is the Least Common Multiple of 80117 and 80130?

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 80117 and 80130 is 6419775210.

LCM(80117,80130) = 6419775210

LCM Calculator and
and

Least Common Multiple of 80117 and 80130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80117 and 80130, than apply into the LCM equation.

GCF(80117,80130) = 1
LCM(80117,80130) = ( 80117 × 80130) / 1
LCM(80117,80130) = 6419775210 / 1
LCM(80117,80130) = 6419775210

Least Common Multiple (LCM) of 80117 and 80130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80117 and 80130. First we will calculate the prime factors of 80117 and 80130.

Prime Factorization of 80117

Prime factors of 80117 are 113, 709. Prime factorization of 80117 in exponential form is:

80117 = 1131 × 7091

Prime Factorization of 80130

Prime factors of 80130 are 2, 3, 5, 2671. Prime factorization of 80130 in exponential form is:

80130 = 21 × 31 × 51 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 80117 and 80130.

LCM(80117,80130) = 1131 × 7091 × 21 × 31 × 51 × 26711
LCM(80117,80130) = 6419775210