What is the Least Common Multiple of 49542 and 49559?
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 49542 and 49559 is 2455251978.
LCM(49542,49559) = 2455251978
Least Common Multiple of 49542 and 49559 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49542 and 49559, than apply into the LCM equation.
GCF(49542,49559) = 1
LCM(49542,49559) = ( 49542 × 49559) / 1
LCM(49542,49559) = 2455251978 / 1
LCM(49542,49559) = 2455251978
Least Common Multiple (LCM) of 49542 and 49559 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49542 and 49559. First we will calculate the prime factors of 49542 and 49559.
Prime Factorization of 49542
Prime factors of 49542 are 2, 3, 23, 359. Prime factorization of 49542 in exponential form is:
49542 = 21 × 31 × 231 × 3591
Prime Factorization of 49559
Prime factors of 49559 are 49559. Prime factorization of 49559 in exponential form is:
49559 = 495591
Now multiplying the highest exponent prime factors to calculate the LCM of 49542 and 49559.
LCM(49542,49559) = 21 × 31 × 231 × 3591 × 495591
LCM(49542,49559) = 2455251978
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