GCF and LCM Calculator Logo

What is the Least Common Multiple of 31018 and 31038?

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 31018 and 31038 is 481368342.

LCM(31018,31038) = 481368342

LCM Calculator and
and

Least Common Multiple of 31018 and 31038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31018 and 31038, than apply into the LCM equation.

GCF(31018,31038) = 2
LCM(31018,31038) = ( 31018 × 31038) / 2
LCM(31018,31038) = 962736684 / 2
LCM(31018,31038) = 481368342

Least Common Multiple (LCM) of 31018 and 31038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31018 and 31038. First we will calculate the prime factors of 31018 and 31038.

Prime Factorization of 31018

Prime factors of 31018 are 2, 13, 1193. Prime factorization of 31018 in exponential form is:

31018 = 21 × 131 × 11931

Prime Factorization of 31038

Prime factors of 31038 are 2, 3, 7, 739. Prime factorization of 31038 in exponential form is:

31038 = 21 × 31 × 71 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 31018 and 31038.

LCM(31018,31038) = 21 × 131 × 11931 × 31 × 71 × 7391
LCM(31018,31038) = 481368342