What is the Least Common Multiple of 54667 and 54684?
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 54667 and 54684 is 2989410228.
LCM(54667,54684) = 2989410228
Least Common Multiple of 54667 and 54684 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54667 and 54684, than apply into the LCM equation.
GCF(54667,54684) = 1
LCM(54667,54684) = ( 54667 × 54684) / 1
LCM(54667,54684) = 2989410228 / 1
LCM(54667,54684) = 2989410228
Least Common Multiple (LCM) of 54667 and 54684 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54667 and 54684. First we will calculate the prime factors of 54667 and 54684.
Prime Factorization of 54667
Prime factors of 54667 are 54667. Prime factorization of 54667 in exponential form is:
54667 = 546671
Prime Factorization of 54684
Prime factors of 54684 are 2, 3, 7, 31. Prime factorization of 54684 in exponential form is:
54684 = 22 × 32 × 72 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 54667 and 54684.
LCM(54667,54684) = 546671 × 22 × 32 × 72 × 311
LCM(54667,54684) = 2989410228
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