What is the Least Common Multiple of 54537 and 54550?
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 54550 is 2974993350.
LCM(54537,54550) = 2974993350
Least Common Multiple of 54537 and 54550 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 54550, than apply into the LCM equation.
GCF(54537,54550) = 1
LCM(54537,54550) = ( 54537 × 54550) / 1
LCM(54537,54550) = 2974993350 / 1
LCM(54537,54550) = 2974993350
Least Common Multiple (LCM) of 54537 and 54550 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54537 and 54550. First we will calculate the prime factors of 54537 and 54550.
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 54550
Prime factors of 54550 are 2, 5, 1091. Prime factorization of 54550 in exponential form is:
54550 = 21 × 52 × 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 54537 and 54550.
LCM(54537,54550) = 31 × 73 × 531 × 21 × 52 × 10911
LCM(54537,54550) = 2974993350
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