GCF and LCM Calculator Logo

What is the Least Common Multiple of 31166 and 31185?

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 31166 and 31185 is 971911710.

LCM(31166,31185) = 971911710

LCM Calculator and
and

Least Common Multiple of 31166 and 31185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31166 and 31185, than apply into the LCM equation.

GCF(31166,31185) = 1
LCM(31166,31185) = ( 31166 × 31185) / 1
LCM(31166,31185) = 971911710 / 1
LCM(31166,31185) = 971911710

Least Common Multiple (LCM) of 31166 and 31185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31166 and 31185. First we will calculate the prime factors of 31166 and 31185.

Prime Factorization of 31166

Prime factors of 31166 are 2, 15583. Prime factorization of 31166 in exponential form is:

31166 = 21 × 155831

Prime Factorization of 31185

Prime factors of 31185 are 3, 5, 7, 11. Prime factorization of 31185 in exponential form is:

31185 = 34 × 51 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 31166 and 31185.

LCM(31166,31185) = 21 × 155831 × 34 × 51 × 71 × 111
LCM(31166,31185) = 971911710