What is the Least Common Multiple of 50843 and 50847?
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 50843 and 50847 is 2585214021.
LCM(50843,50847) = 2585214021
Least Common Multiple of 50843 and 50847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50843 and 50847, than apply into the LCM equation.
GCF(50843,50847) = 1
LCM(50843,50847) = ( 50843 × 50847) / 1
LCM(50843,50847) = 2585214021 / 1
LCM(50843,50847) = 2585214021
Least Common Multiple (LCM) of 50843 and 50847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50843 and 50847. First we will calculate the prime factors of 50843 and 50847.
Prime Factorization of 50843
Prime factors of 50843 are 13, 3911. Prime factorization of 50843 in exponential form is:
50843 = 131 × 39111
Prime Factorization of 50847
Prime factors of 50847 are 3, 17, 997. Prime factorization of 50847 in exponential form is:
50847 = 31 × 171 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 50843 and 50847.
LCM(50843,50847) = 131 × 39111 × 31 × 171 × 9971
LCM(50843,50847) = 2585214021
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