What is the Least Common Multiple of 93515 and 93523?
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 93515 and 93523 is 8745803345.
LCM(93515,93523) = 8745803345
Least Common Multiple of 93515 and 93523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93515 and 93523, than apply into the LCM equation.
GCF(93515,93523) = 1
LCM(93515,93523) = ( 93515 × 93523) / 1
LCM(93515,93523) = 8745803345 / 1
LCM(93515,93523) = 8745803345
Least Common Multiple (LCM) of 93515 and 93523 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93515 and 93523. First we will calculate the prime factors of 93515 and 93523.
Prime Factorization of 93515
Prime factors of 93515 are 5, 59, 317. Prime factorization of 93515 in exponential form is:
93515 = 51 × 591 × 3171
Prime Factorization of 93523
Prime factors of 93523 are 93523. Prime factorization of 93523 in exponential form is:
93523 = 935231
Now multiplying the highest exponent prime factors to calculate the LCM of 93515 and 93523.
LCM(93515,93523) = 51 × 591 × 3171 × 935231
LCM(93515,93523) = 8745803345
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