What is the Least Common Multiple of 20647 and 20667?
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 20647 and 20667 is 426711549.
LCM(20647,20667) = 426711549
Least Common Multiple of 20647 and 20667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20647 and 20667, than apply into the LCM equation.
GCF(20647,20667) = 1
LCM(20647,20667) = ( 20647 × 20667) / 1
LCM(20647,20667) = 426711549 / 1
LCM(20647,20667) = 426711549
Least Common Multiple (LCM) of 20647 and 20667 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 20647 and 20667. First we will calculate the prime factors of 20647 and 20667.
Prime Factorization of 20647
Prime factors of 20647 are 11, 1877. Prime factorization of 20647 in exponential form is:
20647 = 111 × 18771
Prime Factorization of 20667
Prime factors of 20667 are 3, 83. Prime factorization of 20667 in exponential form is:
20667 = 31 × 832
Now multiplying the highest exponent prime factors to calculate the LCM of 20647 and 20667.
LCM(20647,20667) = 111 × 18771 × 31 × 832
LCM(20647,20667) = 426711549
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