What is the Least Common Multiple of 54577 and 54597?
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 54577 and 54597 is 2979740469.
LCM(54577,54597) = 2979740469
Least Common Multiple of 54577 and 54597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54577 and 54597, than apply into the LCM equation.
GCF(54577,54597) = 1
LCM(54577,54597) = ( 54577 × 54597) / 1
LCM(54577,54597) = 2979740469 / 1
LCM(54577,54597) = 2979740469
Least Common Multiple (LCM) of 54577 and 54597 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54577 and 54597. First we will calculate the prime factors of 54577 and 54597.
Prime Factorization of 54577
Prime factors of 54577 are 54577. Prime factorization of 54577 in exponential form is:
54577 = 545771
Prime Factorization of 54597
Prime factors of 54597 are 3, 18199. Prime factorization of 54597 in exponential form is:
54597 = 31 × 181991
Now multiplying the highest exponent prime factors to calculate the LCM of 54577 and 54597.
LCM(54577,54597) = 545771 × 31 × 181991
LCM(54577,54597) = 2979740469
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