GCF and LCM Calculator Logo

What is the Least Common Multiple of 31171 and 31177?

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 31171 and 31177 is 971818267.

LCM(31171,31177) = 971818267

LCM Calculator and
and

Least Common Multiple of 31171 and 31177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31171 and 31177, than apply into the LCM equation.

GCF(31171,31177) = 1
LCM(31171,31177) = ( 31171 × 31177) / 1
LCM(31171,31177) = 971818267 / 1
LCM(31171,31177) = 971818267

Least Common Multiple (LCM) of 31171 and 31177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31171 and 31177. First we will calculate the prime factors of 31171 and 31177.

Prime Factorization of 31171

Prime factors of 31171 are 7, 61, 73. Prime factorization of 31171 in exponential form is:

31171 = 71 × 611 × 731

Prime Factorization of 31177

Prime factors of 31177 are 31177. Prime factorization of 31177 in exponential form is:

31177 = 311771

Now multiplying the highest exponent prime factors to calculate the LCM of 31171 and 31177.

LCM(31171,31177) = 71 × 611 × 731 × 311771
LCM(31171,31177) = 971818267