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What is the Least Common Multiple of 16654 and 16662?

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 16654 and 16662 is 138744474.

LCM(16654,16662) = 138744474

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Least Common Multiple of 16654 and 16662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16654 and 16662, than apply into the LCM equation.

GCF(16654,16662) = 2
LCM(16654,16662) = ( 16654 × 16662) / 2
LCM(16654,16662) = 277488948 / 2
LCM(16654,16662) = 138744474

Least Common Multiple (LCM) of 16654 and 16662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16654 and 16662. First we will calculate the prime factors of 16654 and 16662.

Prime Factorization of 16654

Prime factors of 16654 are 2, 11, 757. Prime factorization of 16654 in exponential form is:

16654 = 21 × 111 × 7571

Prime Factorization of 16662

Prime factors of 16662 are 2, 3, 2777. Prime factorization of 16662 in exponential form is:

16662 = 21 × 31 × 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 16654 and 16662.

LCM(16654,16662) = 21 × 111 × 7571 × 31 × 27771
LCM(16654,16662) = 138744474