What is the Least Common Multiple of 16123 and 16128?

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 16123 and 16128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16123 and 16128, than apply into the LCM equation.

GCF(16123,16128) = 1
LCM(16123,16128) = ( 16123 × 16128) / 1
LCM(16123,16128) = 260031744 / 1
LCM(16123,16128) = 260031744

Least Common Multiple (LCM) of 16123 and 16128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16123 and 16128. First we will calculate the prime factors of 16123 and 16128.

Prime Factorization of 16123

Prime Factorization of 16128

Now multiplying the highest exponent prime factors to calculate the LCM of 16123 and 16128.

LCM(16123,16128) = 23¹ × 701¹ × 2⁸ × 3² × 7¹
LCM(16123,16128) = 260031744