What is the Least Common Multiple of 2933 and 2943?
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 2933 and 2943 is 8631819.
LCM(2933,2943) = 8631819
Least Common Multiple of 2933 and 2943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2933 and 2943, than apply into the LCM equation.
GCF(2933,2943) = 1
LCM(2933,2943) = ( 2933 × 2943) / 1
LCM(2933,2943) = 8631819 / 1
LCM(2933,2943) = 8631819
Least Common Multiple (LCM) of 2933 and 2943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2933 and 2943. First we will calculate the prime factors of 2933 and 2943.
Prime Factorization of 2933
Prime factors of 2933 are 7, 419. Prime factorization of 2933 in exponential form is:
2933 = 71 × 4191
Prime Factorization of 2943
Prime factors of 2943 are 3, 109. Prime factorization of 2943 in exponential form is:
2943 = 33 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 2933 and 2943.
LCM(2933,2943) = 71 × 4191 × 33 × 1091
LCM(2933,2943) = 8631819
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