What is the Least Common Multiple of 50543 and 50548?
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 50543 and 50548 is 2554847564.
LCM(50543,50548) = 2554847564
Least Common Multiple of 50543 and 50548 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50543 and 50548, than apply into the LCM equation.
GCF(50543,50548) = 1
LCM(50543,50548) = ( 50543 × 50548) / 1
LCM(50543,50548) = 2554847564 / 1
LCM(50543,50548) = 2554847564
Least Common Multiple (LCM) of 50543 and 50548 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50543 and 50548. First we will calculate the prime factors of 50543 and 50548.
Prime Factorization of 50543
Prime factors of 50543 are 50543. Prime factorization of 50543 in exponential form is:
50543 = 505431
Prime Factorization of 50548
Prime factors of 50548 are 2, 12637. Prime factorization of 50548 in exponential form is:
50548 = 22 × 126371
Now multiplying the highest exponent prime factors to calculate the LCM of 50543 and 50548.
LCM(50543,50548) = 505431 × 22 × 126371
LCM(50543,50548) = 2554847564
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