What is the Least Common Multiple of 93441 and 93455?
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 93441 and 93455 is 8732528655.
LCM(93441,93455) = 8732528655
Least Common Multiple of 93441 and 93455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93441 and 93455, than apply into the LCM equation.
GCF(93441,93455) = 1
LCM(93441,93455) = ( 93441 × 93455) / 1
LCM(93441,93455) = 8732528655 / 1
LCM(93441,93455) = 8732528655
Least Common Multiple (LCM) of 93441 and 93455 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93441 and 93455. First we will calculate the prime factors of 93441 and 93455.
Prime Factorization of 93441
Prime factors of 93441 are 3, 31147. Prime factorization of 93441 in exponential form is:
93441 = 31 × 311471
Prime Factorization of 93455
Prime factors of 93455 are 5, 18691. Prime factorization of 93455 in exponential form is:
93455 = 51 × 186911
Now multiplying the highest exponent prime factors to calculate the LCM of 93441 and 93455.
LCM(93441,93455) = 31 × 311471 × 51 × 186911
LCM(93441,93455) = 8732528655
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