GCF and LCM Calculator Logo

What is the Least Common Multiple of 31042 and 31053?

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 31042 and 31053 is 87631566.

LCM(31042,31053) = 87631566

LCM Calculator and
and

Least Common Multiple of 31042 and 31053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31042 and 31053, than apply into the LCM equation.

GCF(31042,31053) = 11
LCM(31042,31053) = ( 31042 × 31053) / 11
LCM(31042,31053) = 963947226 / 11
LCM(31042,31053) = 87631566

Least Common Multiple (LCM) of 31042 and 31053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31042 and 31053. First we will calculate the prime factors of 31042 and 31053.

Prime Factorization of 31042

Prime factors of 31042 are 2, 11, 17, 83. Prime factorization of 31042 in exponential form is:

31042 = 21 × 111 × 171 × 831

Prime Factorization of 31053

Prime factors of 31053 are 3, 11, 941. Prime factorization of 31053 in exponential form is:

31053 = 31 × 111 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 31042 and 31053.

LCM(31042,31053) = 21 × 111 × 171 × 831 × 31 × 9411
LCM(31042,31053) = 87631566