What is the Least Common Multiple of 10449 and 10461?

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 10449 and 10461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10449 and 10461, than apply into the LCM equation.

GCF(10449,10461) = 3
LCM(10449,10461) = ( 10449 × 10461) / 3
LCM(10449,10461) = 109306989 / 3
LCM(10449,10461) = 36435663

Least Common Multiple (LCM) of 10449 and 10461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10449 and 10461. First we will calculate the prime factors of 10449 and 10461.

Prime Factorization of 10449

Prime Factorization of 10461

Now multiplying the highest exponent prime factors to calculate the LCM of 10449 and 10461.

LCM(10449,10461) = 3⁵ × 43¹ × 11¹ × 317¹
LCM(10449,10461) = 36435663