What is the Least Common Multiple of 95939 and 95943?
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 95939 and 95943 is 9204675477.
LCM(95939,95943) = 9204675477
Least Common Multiple of 95939 and 95943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95939 and 95943, than apply into the LCM equation.
GCF(95939,95943) = 1
LCM(95939,95943) = ( 95939 × 95943) / 1
LCM(95939,95943) = 9204675477 / 1
LCM(95939,95943) = 9204675477
Least Common Multiple (LCM) of 95939 and 95943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95939 and 95943. First we will calculate the prime factors of 95939 and 95943.
Prime Factorization of 95939
Prime factors of 95939 are 197, 487. Prime factorization of 95939 in exponential form is:
95939 = 1971 × 4871
Prime Factorization of 95943
Prime factors of 95943 are 3, 31981. Prime factorization of 95943 in exponential form is:
95943 = 31 × 319811
Now multiplying the highest exponent prime factors to calculate the LCM of 95939 and 95943.
LCM(95939,95943) = 1971 × 4871 × 31 × 319811
LCM(95939,95943) = 9204675477
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