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What is the Least Common Multiple of 16437 and 16456?

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 16437 and 16456 is 270487272.

LCM(16437,16456) = 270487272

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Least Common Multiple of 16437 and 16456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16437 and 16456, than apply into the LCM equation.

GCF(16437,16456) = 1
LCM(16437,16456) = ( 16437 × 16456) / 1
LCM(16437,16456) = 270487272 / 1
LCM(16437,16456) = 270487272

Least Common Multiple (LCM) of 16437 and 16456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16437 and 16456. First we will calculate the prime factors of 16437 and 16456.

Prime Factorization of 16437

Prime factors of 16437 are 3, 5479. Prime factorization of 16437 in exponential form is:

16437 = 31 × 54791

Prime Factorization of 16456

Prime factors of 16456 are 2, 11, 17. Prime factorization of 16456 in exponential form is:

16456 = 23 × 112 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 16437 and 16456.

LCM(16437,16456) = 31 × 54791 × 23 × 112 × 171
LCM(16437,16456) = 270487272