GCF and LCM Calculator Logo

What is the Least Common Multiple of 31111 and 31126?

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 31111 and 31126 is 968360986.

LCM(31111,31126) = 968360986

LCM Calculator and
and

Least Common Multiple of 31111 and 31126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31111 and 31126, than apply into the LCM equation.

GCF(31111,31126) = 1
LCM(31111,31126) = ( 31111 × 31126) / 1
LCM(31111,31126) = 968360986 / 1
LCM(31111,31126) = 968360986

Least Common Multiple (LCM) of 31111 and 31126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31111 and 31126. First we will calculate the prime factors of 31111 and 31126.

Prime Factorization of 31111

Prime factors of 31111 are 53, 587. Prime factorization of 31111 in exponential form is:

31111 = 531 × 5871

Prime Factorization of 31126

Prime factors of 31126 are 2, 79, 197. Prime factorization of 31126 in exponential form is:

31126 = 21 × 791 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 31111 and 31126.

LCM(31111,31126) = 531 × 5871 × 21 × 791 × 1971
LCM(31111,31126) = 968360986