What is the Least Common Multiple of 16443 and 16461?

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 16443 and 16461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16443 and 16461, than apply into the LCM equation.

GCF(16443,16461) = 9
LCM(16443,16461) = ( 16443 × 16461) / 9
LCM(16443,16461) = 270668223 / 9
LCM(16443,16461) = 30074247

Least Common Multiple (LCM) of 16443 and 16461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16443 and 16461. First we will calculate the prime factors of 16443 and 16461.

Prime Factorization of 16443

Prime Factorization of 16461

Now multiplying the highest exponent prime factors to calculate the LCM of 16443 and 16461.

LCM(16443,16461) = 3⁴ × 7¹ × 29¹ × 31¹ × 59¹
LCM(16443,16461) = 30074247