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What is the Least Common Multiple of 16934 and 16944?

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 16934 and 16944 is 143464848.

LCM(16934,16944) = 143464848

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Least Common Multiple of 16934 and 16944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16934 and 16944, than apply into the LCM equation.

GCF(16934,16944) = 2
LCM(16934,16944) = ( 16934 × 16944) / 2
LCM(16934,16944) = 286929696 / 2
LCM(16934,16944) = 143464848

Least Common Multiple (LCM) of 16934 and 16944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16934 and 16944. First we will calculate the prime factors of 16934 and 16944.

Prime Factorization of 16934

Prime factors of 16934 are 2, 8467. Prime factorization of 16934 in exponential form is:

16934 = 21 × 84671

Prime Factorization of 16944

Prime factors of 16944 are 2, 3, 353. Prime factorization of 16944 in exponential form is:

16944 = 24 × 31 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 16934 and 16944.

LCM(16934,16944) = 24 × 84671 × 31 × 3531
LCM(16934,16944) = 143464848