What is the Least Common Multiple of 16425 and 16443?

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 16425 and 16443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16425 and 16443, than apply into the LCM equation.

GCF(16425,16443) = 9
LCM(16425,16443) = ( 16425 × 16443) / 9
LCM(16425,16443) = 270076275 / 9
LCM(16425,16443) = 30008475

Least Common Multiple (LCM) of 16425 and 16443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16425 and 16443. First we will calculate the prime factors of 16425 and 16443.

Prime Factorization of 16425

Prime Factorization of 16443

Now multiplying the highest exponent prime factors to calculate the LCM of 16425 and 16443.

LCM(16425,16443) = 3⁴ × 5² × 73¹ × 7¹ × 29¹
LCM(16425,16443) = 30008475