What is the Least Common Multiple of 16230 and 16239?

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 16230 and 16239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16230 and 16239, than apply into the LCM equation.

GCF(16230,16239) = 3
LCM(16230,16239) = ( 16230 × 16239) / 3
LCM(16230,16239) = 263558970 / 3
LCM(16230,16239) = 87852990

Least Common Multiple (LCM) of 16230 and 16239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16230 and 16239. First we will calculate the prime factors of 16230 and 16239.

Prime Factorization of 16230

Prime Factorization of 16239

Now multiplying the highest exponent prime factors to calculate the LCM of 16230 and 16239.

LCM(16230,16239) = 2¹ × 3¹ × 5¹ × 541¹ × 5413¹
LCM(16230,16239) = 87852990