What is the Least Common Multiple of 48547 and 48558?
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 48547 and 48558 is 2357345226.
LCM(48547,48558) = 2357345226
Least Common Multiple of 48547 and 48558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48547 and 48558, than apply into the LCM equation.
GCF(48547,48558) = 1
LCM(48547,48558) = ( 48547 × 48558) / 1
LCM(48547,48558) = 2357345226 / 1
LCM(48547,48558) = 2357345226
Least Common Multiple (LCM) of 48547 and 48558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48547 and 48558. First we will calculate the prime factors of 48547 and 48558.
Prime Factorization of 48547
Prime factors of 48547 are 43, 1129. Prime factorization of 48547 in exponential form is:
48547 = 431 × 11291
Prime Factorization of 48558
Prime factors of 48558 are 2, 3, 8093. Prime factorization of 48558 in exponential form is:
48558 = 21 × 31 × 80931
Now multiplying the highest exponent prime factors to calculate the LCM of 48547 and 48558.
LCM(48547,48558) = 431 × 11291 × 21 × 31 × 80931
LCM(48547,48558) = 2357345226
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