What is the Least Common Multiple of 49543 and 49558?
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 49543 and 49558 is 2455251994.
LCM(49543,49558) = 2455251994
Least Common Multiple of 49543 and 49558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49543 and 49558, than apply into the LCM equation.
GCF(49543,49558) = 1
LCM(49543,49558) = ( 49543 × 49558) / 1
LCM(49543,49558) = 2455251994 / 1
LCM(49543,49558) = 2455251994
Least Common Multiple (LCM) of 49543 and 49558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49543 and 49558. First we will calculate the prime factors of 49543 and 49558.
Prime Factorization of 49543
Prime factors of 49543 are 13, 37, 103. Prime factorization of 49543 in exponential form is:
49543 = 131 × 371 × 1031
Prime Factorization of 49558
Prime factors of 49558 are 2, 71, 349. Prime factorization of 49558 in exponential form is:
49558 = 21 × 711 × 3491
Now multiplying the highest exponent prime factors to calculate the LCM of 49543 and 49558.
LCM(49543,49558) = 131 × 371 × 1031 × 21 × 711 × 3491
LCM(49543,49558) = 2455251994
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