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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 (LCM) of 16428 and 16436 is 67502652.

LCM(16428,16436) = 67502652

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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 factors of 16428 are 2, 3, 37. Prime factorization of 16428 in exponential form is:

16428 = 22 × 31 × 372

Prime Factorization of 16436

Prime factors of 16436 are 2, 7, 587. Prime factorization of 16436 in exponential form is:

16436 = 22 × 71 × 5871

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