What is the Least Common Multiple of 50943 and 50947?
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 50943 and 50947 is 2595393021.
LCM(50943,50947) = 2595393021
Least Common Multiple of 50943 and 50947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50943 and 50947, than apply into the LCM equation.
GCF(50943,50947) = 1
LCM(50943,50947) = ( 50943 × 50947) / 1
LCM(50943,50947) = 2595393021 / 1
LCM(50943,50947) = 2595393021
Least Common Multiple (LCM) of 50943 and 50947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50943 and 50947. First we will calculate the prime factors of 50943 and 50947.
Prime Factorization of 50943
Prime factors of 50943 are 3, 16981. Prime factorization of 50943 in exponential form is:
50943 = 31 × 169811
Prime Factorization of 50947
Prime factors of 50947 are 13, 3919. Prime factorization of 50947 in exponential form is:
50947 = 131 × 39191
Now multiplying the highest exponent prime factors to calculate the LCM of 50943 and 50947.
LCM(50943,50947) = 31 × 169811 × 131 × 39191
LCM(50943,50947) = 2595393021
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