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What is the Least Common Multiple of 16775 and 16780?

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 16775 and 16780 is 56296900.

LCM(16775,16780) = 56296900

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Least Common Multiple of 16775 and 16780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16775 and 16780, than apply into the LCM equation.

GCF(16775,16780) = 5
LCM(16775,16780) = ( 16775 × 16780) / 5
LCM(16775,16780) = 281484500 / 5
LCM(16775,16780) = 56296900

Least Common Multiple (LCM) of 16775 and 16780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16775 and 16780. First we will calculate the prime factors of 16775 and 16780.

Prime Factorization of 16775

Prime factors of 16775 are 5, 11, 61. Prime factorization of 16775 in exponential form is:

16775 = 52 × 111 × 611

Prime Factorization of 16780

Prime factors of 16780 are 2, 5, 839. Prime factorization of 16780 in exponential form is:

16780 = 22 × 51 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 16775 and 16780.

LCM(16775,16780) = 52 × 111 × 611 × 22 × 8391
LCM(16775,16780) = 56296900