What is the Least Common Multiple of 52537 and 52555?
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 52537 and 52555 is 2761082035.
LCM(52537,52555) = 2761082035
Least Common Multiple of 52537 and 52555 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52537 and 52555, than apply into the LCM equation.
GCF(52537,52555) = 1
LCM(52537,52555) = ( 52537 × 52555) / 1
LCM(52537,52555) = 2761082035 / 1
LCM(52537,52555) = 2761082035
Least Common Multiple (LCM) of 52537 and 52555 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52537 and 52555. First we will calculate the prime factors of 52537 and 52555.
Prime Factorization of 52537
Prime factors of 52537 are 107, 491. Prime factorization of 52537 in exponential form is:
52537 = 1071 × 4911
Prime Factorization of 52555
Prime factors of 52555 are 5, 23, 457. Prime factorization of 52555 in exponential form is:
52555 = 51 × 231 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 52537 and 52555.
LCM(52537,52555) = 1071 × 4911 × 51 × 231 × 4571
LCM(52537,52555) = 2761082035
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