What is the Least Common Multiple of 54559 and 54575?
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 54559 and 54575 is 2977557425.
LCM(54559,54575) = 2977557425
Least Common Multiple of 54559 and 54575 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54559 and 54575, than apply into the LCM equation.
GCF(54559,54575) = 1
LCM(54559,54575) = ( 54559 × 54575) / 1
LCM(54559,54575) = 2977557425 / 1
LCM(54559,54575) = 2977557425
Least Common Multiple (LCM) of 54559 and 54575 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54559 and 54575. First we will calculate the prime factors of 54559 and 54575.
Prime Factorization of 54559
Prime factors of 54559 are 54559. Prime factorization of 54559 in exponential form is:
54559 = 545591
Prime Factorization of 54575
Prime factors of 54575 are 5, 37, 59. Prime factorization of 54575 in exponential form is:
54575 = 52 × 371 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 54559 and 54575.
LCM(54559,54575) = 545591 × 52 × 371 × 591
LCM(54559,54575) = 2977557425
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