What is the Least Common Multiple of 93497 and 93511?
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 93497 and 93511 is 8742997967.
LCM(93497,93511) = 8742997967
Least Common Multiple of 93497 and 93511 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93497 and 93511, than apply into the LCM equation.
GCF(93497,93511) = 1
LCM(93497,93511) = ( 93497 × 93511) / 1
LCM(93497,93511) = 8742997967 / 1
LCM(93497,93511) = 8742997967
Least Common Multiple (LCM) of 93497 and 93511 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93497 and 93511. First we will calculate the prime factors of 93497 and 93511.
Prime Factorization of 93497
Prime factors of 93497 are 93497. Prime factorization of 93497 in exponential form is:
93497 = 934971
Prime Factorization of 93511
Prime factors of 93511 are 11, 8501. Prime factorization of 93511 in exponential form is:
93511 = 111 × 85011
Now multiplying the highest exponent prime factors to calculate the LCM of 93497 and 93511.
LCM(93497,93511) = 934971 × 111 × 85011
LCM(93497,93511) = 8742997967
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