What is the Least Common Multiple of 16128 and 16140?

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 16128 and 16140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16128 and 16140, than apply into the LCM equation.

GCF(16128,16140) = 12
LCM(16128,16140) = ( 16128 × 16140) / 12
LCM(16128,16140) = 260305920 / 12
LCM(16128,16140) = 21692160

Least Common Multiple (LCM) of 16128 and 16140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16128 and 16140. First we will calculate the prime factors of 16128 and 16140.

Prime Factorization of 16128

Prime Factorization of 16140

Now multiplying the highest exponent prime factors to calculate the LCM of 16128 and 16140.

LCM(16128,16140) = 2⁸ × 3² × 7¹ × 5¹ × 269¹
LCM(16128,16140) = 21692160