What is the Least Common Multiple of 54591 and 54602?
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 54591 and 54602 is 2980777782.
LCM(54591,54602) = 2980777782
Least Common Multiple of 54591 and 54602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54591 and 54602, than apply into the LCM equation.
GCF(54591,54602) = 1
LCM(54591,54602) = ( 54591 × 54602) / 1
LCM(54591,54602) = 2980777782 / 1
LCM(54591,54602) = 2980777782
Least Common Multiple (LCM) of 54591 and 54602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54591 and 54602. First we will calculate the prime factors of 54591 and 54602.
Prime Factorization of 54591
Prime factors of 54591 are 3, 31, 587. Prime factorization of 54591 in exponential form is:
54591 = 31 × 311 × 5871
Prime Factorization of 54602
Prime factors of 54602 are 2, 23, 1187. Prime factorization of 54602 in exponential form is:
54602 = 21 × 231 × 11871
Now multiplying the highest exponent prime factors to calculate the LCM of 54591 and 54602.
LCM(54591,54602) = 31 × 311 × 5871 × 21 × 231 × 11871
LCM(54591,54602) = 2980777782
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