What is the Least Common Multiple of 16767 and 16778?
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 16767 and 16778 is 281316726.
LCM(16767,16778) = 281316726
Least Common Multiple of 16767 and 16778 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16767 and 16778, than apply into the LCM equation.
GCF(16767,16778) = 1
LCM(16767,16778) = ( 16767 × 16778) / 1
LCM(16767,16778) = 281316726 / 1
LCM(16767,16778) = 281316726
Least Common Multiple (LCM) of 16767 and 16778 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16767 and 16778. First we will calculate the prime factors of 16767 and 16778.
Prime Factorization of 16767
Prime factors of 16767 are 3, 23. Prime factorization of 16767 in exponential form is:
16767 = 36 × 231
Prime Factorization of 16778
Prime factors of 16778 are 2, 8389. Prime factorization of 16778 in exponential form is:
16778 = 21 × 83891
Now multiplying the highest exponent prime factors to calculate the LCM of 16767 and 16778.
LCM(16767,16778) = 36 × 231 × 21 × 83891
LCM(16767,16778) = 281316726
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