GCF and LCM Calculator Logo

What is the Least Common Multiple of 31030 and 31048?

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 31030 and 31048 is 481709720.

LCM(31030,31048) = 481709720

LCM Calculator and
and

Least Common Multiple of 31030 and 31048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31030 and 31048, than apply into the LCM equation.

GCF(31030,31048) = 2
LCM(31030,31048) = ( 31030 × 31048) / 2
LCM(31030,31048) = 963419440 / 2
LCM(31030,31048) = 481709720

Least Common Multiple (LCM) of 31030 and 31048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31030 and 31048. First we will calculate the prime factors of 31030 and 31048.

Prime Factorization of 31030

Prime factors of 31030 are 2, 5, 29, 107. Prime factorization of 31030 in exponential form is:

31030 = 21 × 51 × 291 × 1071

Prime Factorization of 31048

Prime factors of 31048 are 2, 3881. Prime factorization of 31048 in exponential form is:

31048 = 23 × 38811

Now multiplying the highest exponent prime factors to calculate the LCM of 31030 and 31048.

LCM(31030,31048) = 23 × 51 × 291 × 1071 × 38811
LCM(31030,31048) = 481709720