What is the Least Common Multiple of 58937 and 58943?
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 58937 and 58943 is 3473923591.
LCM(58937,58943) = 3473923591
Least Common Multiple of 58937 and 58943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58937 and 58943, than apply into the LCM equation.
GCF(58937,58943) = 1
LCM(58937,58943) = ( 58937 × 58943) / 1
LCM(58937,58943) = 3473923591 / 1
LCM(58937,58943) = 3473923591
Least Common Multiple (LCM) of 58937 and 58943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58937 and 58943. First we will calculate the prime factors of 58937 and 58943.
Prime Factorization of 58937
Prime factors of 58937 are 58937. Prime factorization of 58937 in exponential form is:
58937 = 589371
Prime Factorization of 58943
Prime factors of 58943 are 58943. Prime factorization of 58943 in exponential form is:
58943 = 589431
Now multiplying the highest exponent prime factors to calculate the LCM of 58937 and 58943.
LCM(58937,58943) = 589371 × 589431
LCM(58937,58943) = 3473923591
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