What is the Least Common Multiple of 54537 and 54556?
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 54537 and 54556 is 2975320572.
LCM(54537,54556) = 2975320572
Least Common Multiple of 54537 and 54556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54537 and 54556, than apply into the LCM equation.
GCF(54537,54556) = 1
LCM(54537,54556) = ( 54537 × 54556) / 1
LCM(54537,54556) = 2975320572 / 1
LCM(54537,54556) = 2975320572
Least Common Multiple (LCM) of 54537 and 54556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54537 and 54556. First we will calculate the prime factors of 54537 and 54556.
Prime Factorization of 54537
Prime factors of 54537 are 3, 7, 53. Prime factorization of 54537 in exponential form is:
54537 = 31 × 73 × 531
Prime Factorization of 54556
Prime factors of 54556 are 2, 23, 593. Prime factorization of 54556 in exponential form is:
54556 = 22 × 231 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 54537 and 54556.
LCM(54537,54556) = 31 × 73 × 531 × 22 × 231 × 5931
LCM(54537,54556) = 2975320572
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