What is the Least Common Multiple of 54585 and 54591?
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 54585 and 54591 is 993283245.
LCM(54585,54591) = 993283245
Least Common Multiple of 54585 and 54591 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54585 and 54591, than apply into the LCM equation.
GCF(54585,54591) = 3
LCM(54585,54591) = ( 54585 × 54591) / 3
LCM(54585,54591) = 2979849735 / 3
LCM(54585,54591) = 993283245
Least Common Multiple (LCM) of 54585 and 54591 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54585 and 54591. First we will calculate the prime factors of 54585 and 54591.
Prime Factorization of 54585
Prime factors of 54585 are 3, 5, 1213. Prime factorization of 54585 in exponential form is:
54585 = 32 × 51 × 12131
Prime Factorization of 54591
Prime factors of 54591 are 3, 31, 587. Prime factorization of 54591 in exponential form is:
54591 = 31 × 311 × 5871
Now multiplying the highest exponent prime factors to calculate the LCM of 54585 and 54591.
LCM(54585,54591) = 32 × 51 × 12131 × 311 × 5871
LCM(54585,54591) = 993283245
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