What is the Least Common Multiple of 16428 and 16436?

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 16428 and 16436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16428 and 16436, than apply into the LCM equation.

GCF(16428,16436) = 4
LCM(16428,16436) = ( 16428 × 16436) / 4
LCM(16428,16436) = 270010608 / 4
LCM(16428,16436) = 67502652

Least Common Multiple (LCM) of 16428 and 16436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16428 and 16436. First we will calculate the prime factors of 16428 and 16436.

Prime Factorization of 16428

Prime Factorization of 16436

Now multiplying the highest exponent prime factors to calculate the LCM of 16428 and 16436.

LCM(16428,16436) = 2² × 3¹ × 37² × 7¹ × 587¹
LCM(16428,16436) = 67502652