What is the Least Common Multiple of 54580 and 54592?
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 54580 and 54592 is 744907840.
LCM(54580,54592) = 744907840
Least Common Multiple of 54580 and 54592 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54580 and 54592, than apply into the LCM equation.
GCF(54580,54592) = 4
LCM(54580,54592) = ( 54580 × 54592) / 4
LCM(54580,54592) = 2979631360 / 4
LCM(54580,54592) = 744907840
Least Common Multiple (LCM) of 54580 and 54592 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54580 and 54592. First we will calculate the prime factors of 54580 and 54592.
Prime Factorization of 54580
Prime factors of 54580 are 2, 5, 2729. Prime factorization of 54580 in exponential form is:
54580 = 22 × 51 × 27291
Prime Factorization of 54592
Prime factors of 54592 are 2, 853. Prime factorization of 54592 in exponential form is:
54592 = 26 × 8531
Now multiplying the highest exponent prime factors to calculate the LCM of 54580 and 54592.
LCM(54580,54592) = 26 × 51 × 27291 × 8531
LCM(54580,54592) = 744907840
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