What is the Least Common Multiple of 49541 and 49556?
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 49541 and 49556 is 2455053796.
LCM(49541,49556) = 2455053796
Least Common Multiple of 49541 and 49556 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49541 and 49556, than apply into the LCM equation.
GCF(49541,49556) = 1
LCM(49541,49556) = ( 49541 × 49556) / 1
LCM(49541,49556) = 2455053796 / 1
LCM(49541,49556) = 2455053796
Least Common Multiple (LCM) of 49541 and 49556 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49541 and 49556. First we will calculate the prime factors of 49541 and 49556.
Prime Factorization of 49541
Prime factors of 49541 are 107, 463. Prime factorization of 49541 in exponential form is:
49541 = 1071 × 4631
Prime Factorization of 49556
Prime factors of 49556 are 2, 13, 953. Prime factorization of 49556 in exponential form is:
49556 = 22 × 131 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 49541 and 49556.
LCM(49541,49556) = 1071 × 4631 × 22 × 131 × 9531
LCM(49541,49556) = 2455053796
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