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What is the Least Common Multiple of 16646 and 16656?

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 16646 and 16656 is 138627888.

LCM(16646,16656) = 138627888

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Least Common Multiple of 16646 and 16656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16646 and 16656, than apply into the LCM equation.

GCF(16646,16656) = 2
LCM(16646,16656) = ( 16646 × 16656) / 2
LCM(16646,16656) = 277255776 / 2
LCM(16646,16656) = 138627888

Least Common Multiple (LCM) of 16646 and 16656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16646 and 16656. First we will calculate the prime factors of 16646 and 16656.

Prime Factorization of 16646

Prime factors of 16646 are 2, 7, 29, 41. Prime factorization of 16646 in exponential form is:

16646 = 21 × 71 × 291 × 411

Prime Factorization of 16656

Prime factors of 16656 are 2, 3, 347. Prime factorization of 16656 in exponential form is:

16656 = 24 × 31 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 16646 and 16656.

LCM(16646,16656) = 24 × 71 × 291 × 411 × 31 × 3471
LCM(16646,16656) = 138627888