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What is the Least Common Multiple of 16401 and 16419?

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 16401 and 16419 is 89762673.

LCM(16401,16419) = 89762673

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Least Common Multiple of 16401 and 16419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16401 and 16419, than apply into the LCM equation.

GCF(16401,16419) = 3
LCM(16401,16419) = ( 16401 × 16419) / 3
LCM(16401,16419) = 269288019 / 3
LCM(16401,16419) = 89762673

Least Common Multiple (LCM) of 16401 and 16419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16401 and 16419. First we will calculate the prime factors of 16401 and 16419.

Prime Factorization of 16401

Prime factors of 16401 are 3, 7, 11, 71. Prime factorization of 16401 in exponential form is:

16401 = 31 × 71 × 111 × 711

Prime Factorization of 16419

Prime factors of 16419 are 3, 13, 421. Prime factorization of 16419 in exponential form is:

16419 = 31 × 131 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 16401 and 16419.

LCM(16401,16419) = 31 × 71 × 111 × 711 × 131 × 4211
LCM(16401,16419) = 89762673