What is the Least Common Multiple of 54560 and 54571?
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 54560 and 54571 is 270672160.
LCM(54560,54571) = 270672160
Least Common Multiple of 54560 and 54571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54560 and 54571, than apply into the LCM equation.
GCF(54560,54571) = 11
LCM(54560,54571) = ( 54560 × 54571) / 11
LCM(54560,54571) = 2977393760 / 11
LCM(54560,54571) = 270672160
Least Common Multiple (LCM) of 54560 and 54571 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54560 and 54571. First we will calculate the prime factors of 54560 and 54571.
Prime Factorization of 54560
Prime factors of 54560 are 2, 5, 11, 31. Prime factorization of 54560 in exponential form is:
54560 = 25 × 51 × 111 × 311
Prime Factorization of 54571
Prime factors of 54571 are 11, 41. Prime factorization of 54571 in exponential form is:
54571 = 113 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 54560 and 54571.
LCM(54560,54571) = 25 × 51 × 113 × 311 × 411
LCM(54560,54571) = 270672160
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