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What is the Least Common Multiple of 16332 and 16342?

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 16332 and 16342 is 133448772.

LCM(16332,16342) = 133448772

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Least Common Multiple of 16332 and 16342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16332 and 16342, than apply into the LCM equation.

GCF(16332,16342) = 2
LCM(16332,16342) = ( 16332 × 16342) / 2
LCM(16332,16342) = 266897544 / 2
LCM(16332,16342) = 133448772

Least Common Multiple (LCM) of 16332 and 16342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16332 and 16342. First we will calculate the prime factors of 16332 and 16342.

Prime Factorization of 16332

Prime factors of 16332 are 2, 3, 1361. Prime factorization of 16332 in exponential form is:

16332 = 22 × 31 × 13611

Prime Factorization of 16342

Prime factors of 16342 are 2, 8171. Prime factorization of 16342 in exponential form is:

16342 = 21 × 81711

Now multiplying the highest exponent prime factors to calculate the LCM of 16332 and 16342.

LCM(16332,16342) = 22 × 31 × 13611 × 81711
LCM(16332,16342) = 133448772