What is the Least Common Multiple of 93413 and 93421?
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 93413 and 93421 is 8726735873.
LCM(93413,93421) = 8726735873
Least Common Multiple of 93413 and 93421 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93413 and 93421, than apply into the LCM equation.
GCF(93413,93421) = 1
LCM(93413,93421) = ( 93413 × 93421) / 1
LCM(93413,93421) = 8726735873 / 1
LCM(93413,93421) = 8726735873
Least Common Multiple (LCM) of 93413 and 93421 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93413 and 93421. First we will calculate the prime factors of 93413 and 93421.
Prime Factorization of 93413
Prime factors of 93413 are 109, 857. Prime factorization of 93413 in exponential form is:
93413 = 1091 × 8571
Prime Factorization of 93421
Prime factors of 93421 are 103, 907. Prime factorization of 93421 in exponential form is:
93421 = 1031 × 9071
Now multiplying the highest exponent prime factors to calculate the LCM of 93413 and 93421.
LCM(93413,93421) = 1091 × 8571 × 1031 × 9071
LCM(93413,93421) = 8726735873
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