GCF and LCM Calculator Logo

What is the Least Common Multiple of 31052 and 31070?

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 31052 and 31070 is 482392820.

LCM(31052,31070) = 482392820

LCM Calculator and
and

Least Common Multiple of 31052 and 31070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31052 and 31070, than apply into the LCM equation.

GCF(31052,31070) = 2
LCM(31052,31070) = ( 31052 × 31070) / 2
LCM(31052,31070) = 964785640 / 2
LCM(31052,31070) = 482392820

Least Common Multiple (LCM) of 31052 and 31070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31052 and 31070. First we will calculate the prime factors of 31052 and 31070.

Prime Factorization of 31052

Prime factors of 31052 are 2, 7, 1109. Prime factorization of 31052 in exponential form is:

31052 = 22 × 71 × 11091

Prime Factorization of 31070

Prime factors of 31070 are 2, 5, 13, 239. Prime factorization of 31070 in exponential form is:

31070 = 21 × 51 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 31052 and 31070.

LCM(31052,31070) = 22 × 71 × 11091 × 51 × 131 × 2391
LCM(31052,31070) = 482392820