What is the Least Common Multiple of 10461 and 10473?

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 10461 and 10473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10461 and 10473, than apply into the LCM equation.

GCF(10461,10473) = 3
LCM(10461,10473) = ( 10461 × 10473) / 3
LCM(10461,10473) = 109558053 / 3
LCM(10461,10473) = 36519351

Least Common Multiple (LCM) of 10461 and 10473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10461 and 10473. First we will calculate the prime factors of 10461 and 10473.

Prime Factorization of 10461

Prime Factorization of 10473

Now multiplying the highest exponent prime factors to calculate the LCM of 10461 and 10473.

LCM(10461,10473) = 3¹ × 11¹ × 317¹ × 3491¹
LCM(10461,10473) = 36519351