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What is the Least Common Multiple of 16640 and 16644?

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 16640 and 16644 is 69239040.

LCM(16640,16644) = 69239040

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Least Common Multiple of 16640 and 16644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16640 and 16644, than apply into the LCM equation.

GCF(16640,16644) = 4
LCM(16640,16644) = ( 16640 × 16644) / 4
LCM(16640,16644) = 276956160 / 4
LCM(16640,16644) = 69239040

Least Common Multiple (LCM) of 16640 and 16644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16640 and 16644. First we will calculate the prime factors of 16640 and 16644.

Prime Factorization of 16640

Prime factors of 16640 are 2, 5, 13. Prime factorization of 16640 in exponential form is:

16640 = 28 × 51 × 131

Prime Factorization of 16644

Prime factors of 16644 are 2, 3, 19, 73. Prime factorization of 16644 in exponential form is:

16644 = 22 × 31 × 191 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 16640 and 16644.

LCM(16640,16644) = 28 × 51 × 131 × 31 × 191 × 731
LCM(16640,16644) = 69239040