What is the Least Common Multiple of 54592 and 54604?
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 54592 and 54604 is 745235392.
LCM(54592,54604) = 745235392
Least Common Multiple of 54592 and 54604 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54592 and 54604, than apply into the LCM equation.
GCF(54592,54604) = 4
LCM(54592,54604) = ( 54592 × 54604) / 4
LCM(54592,54604) = 2980941568 / 4
LCM(54592,54604) = 745235392
Least Common Multiple (LCM) of 54592 and 54604 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54592 and 54604. First we will calculate the prime factors of 54592 and 54604.
Prime Factorization of 54592
Prime factors of 54592 are 2, 853. Prime factorization of 54592 in exponential form is:
54592 = 26 × 8531
Prime Factorization of 54604
Prime factors of 54604 are 2, 11, 17, 73. Prime factorization of 54604 in exponential form is:
54604 = 22 × 111 × 171 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 54592 and 54604.
LCM(54592,54604) = 26 × 8531 × 111 × 171 × 731
LCM(54592,54604) = 745235392
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