GCF and LCM Calculator Logo

What is the Least Common Multiple of 31161 and 31172?

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 31161 and 31172 is 971350692.

LCM(31161,31172) = 971350692

LCM Calculator and
and

Least Common Multiple of 31161 and 31172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31161 and 31172, than apply into the LCM equation.

GCF(31161,31172) = 1
LCM(31161,31172) = ( 31161 × 31172) / 1
LCM(31161,31172) = 971350692 / 1
LCM(31161,31172) = 971350692

Least Common Multiple (LCM) of 31161 and 31172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31161 and 31172. First we will calculate the prime factors of 31161 and 31172.

Prime Factorization of 31161

Prime factors of 31161 are 3, 13, 17, 47. Prime factorization of 31161 in exponential form is:

31161 = 31 × 131 × 171 × 471

Prime Factorization of 31172

Prime factors of 31172 are 2, 7793. Prime factorization of 31172 in exponential form is:

31172 = 22 × 77931

Now multiplying the highest exponent prime factors to calculate the LCM of 31161 and 31172.

LCM(31161,31172) = 31 × 131 × 171 × 471 × 22 × 77931
LCM(31161,31172) = 971350692