What is the Least Common Multiple of 16790 and 16807?
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 16790 and 16807 is 282189530.
LCM(16790,16807) = 282189530
Least Common Multiple of 16790 and 16807 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16790 and 16807, than apply into the LCM equation.
GCF(16790,16807) = 1
LCM(16790,16807) = ( 16790 × 16807) / 1
LCM(16790,16807) = 282189530 / 1
LCM(16790,16807) = 282189530
Least Common Multiple (LCM) of 16790 and 16807 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16790 and 16807. First we will calculate the prime factors of 16790 and 16807.
Prime Factorization of 16790
Prime factors of 16790 are 2, 5, 23, 73. Prime factorization of 16790 in exponential form is:
16790 = 21 × 51 × 231 × 731
Prime Factorization of 16807
Prime factors of 16807 are 7. Prime factorization of 16807 in exponential form is:
16807 = 75
Now multiplying the highest exponent prime factors to calculate the LCM of 16790 and 16807.
LCM(16790,16807) = 21 × 51 × 231 × 731 × 75
LCM(16790,16807) = 282189530
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