What is the Least Common Multiple of 31801 and 31811?

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 of 31801 and 31811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31801 and 31811, than apply into the LCM equation.

GCF(31801,31811) = 1
LCM(31801,31811) = ( 31801 × 31811) / 1
LCM(31801,31811) = 1011621611 / 1
LCM(31801,31811) = 1011621611

Least Common Multiple (LCM) of 31801 and 31811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31801 and 31811. First we will calculate the prime factors of 31801 and 31811.

Prime Factorization of 31801

Prime Factorization of 31811

Now multiplying the highest exponent prime factors to calculate the LCM of 31801 and 31811.

LCM(31801,31811) = 7² × 11¹ × 59¹ × 13¹ × 2447¹
LCM(31801,31811) = 1011621611