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What is the Least Common Multiple of 16707 and 16722?

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 16707 and 16722 is 93124818.

LCM(16707,16722) = 93124818

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Least Common Multiple of 16707 and 16722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16707 and 16722, than apply into the LCM equation.

GCF(16707,16722) = 3
LCM(16707,16722) = ( 16707 × 16722) / 3
LCM(16707,16722) = 279374454 / 3
LCM(16707,16722) = 93124818

Least Common Multiple (LCM) of 16707 and 16722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16707 and 16722. First we will calculate the prime factors of 16707 and 16722.

Prime Factorization of 16707

Prime factors of 16707 are 3, 5569. Prime factorization of 16707 in exponential form is:

16707 = 31 × 55691

Prime Factorization of 16722

Prime factors of 16722 are 2, 3, 929. Prime factorization of 16722 in exponential form is:

16722 = 21 × 32 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 16707 and 16722.

LCM(16707,16722) = 32 × 55691 × 21 × 9291
LCM(16707,16722) = 93124818