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What is the Least Common Multiple of 16698 and 16710?

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 16698 and 16710 is 46503930.

LCM(16698,16710) = 46503930

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Least Common Multiple of 16698 and 16710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16698 and 16710, than apply into the LCM equation.

GCF(16698,16710) = 6
LCM(16698,16710) = ( 16698 × 16710) / 6
LCM(16698,16710) = 279023580 / 6
LCM(16698,16710) = 46503930

Least Common Multiple (LCM) of 16698 and 16710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16698 and 16710. First we will calculate the prime factors of 16698 and 16710.

Prime Factorization of 16698

Prime factors of 16698 are 2, 3, 11, 23. Prime factorization of 16698 in exponential form is:

16698 = 21 × 31 × 112 × 231

Prime Factorization of 16710

Prime factors of 16710 are 2, 3, 5, 557. Prime factorization of 16710 in exponential form is:

16710 = 21 × 31 × 51 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 16698 and 16710.

LCM(16698,16710) = 21 × 31 × 112 × 231 × 51 × 5571
LCM(16698,16710) = 46503930