What is the Least Common Multiple of 31401 and 31410?

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 31401 and 31410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31401 and 31410, than apply into the LCM equation.

GCF(31401,31410) = 9
LCM(31401,31410) = ( 31401 × 31410) / 9
LCM(31401,31410) = 986305410 / 9
LCM(31401,31410) = 109589490

Least Common Multiple (LCM) of 31401 and 31410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31401 and 31410. First we will calculate the prime factors of 31401 and 31410.

Prime Factorization of 31401

Prime Factorization of 31410

Now multiplying the highest exponent prime factors to calculate the LCM of 31401 and 31410.

LCM(31401,31410) = 3³ × 1163¹ × 2¹ × 5¹ × 349¹
LCM(31401,31410) = 109589490