What is the Least Common Multiple of 93353 and 93362?
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 93353 and 93362 is 8715622786.
LCM(93353,93362) = 8715622786
Least Common Multiple of 93353 and 93362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93353 and 93362, than apply into the LCM equation.
GCF(93353,93362) = 1
LCM(93353,93362) = ( 93353 × 93362) / 1
LCM(93353,93362) = 8715622786 / 1
LCM(93353,93362) = 8715622786
Least Common Multiple (LCM) of 93353 and 93362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93353 and 93362. First we will calculate the prime factors of 93353 and 93362.
Prime Factorization of 93353
Prime factors of 93353 are 13, 43, 167. Prime factorization of 93353 in exponential form is:
93353 = 131 × 431 × 1671
Prime Factorization of 93362
Prime factors of 93362 are 2, 46681. Prime factorization of 93362 in exponential form is:
93362 = 21 × 466811
Now multiplying the highest exponent prime factors to calculate the LCM of 93353 and 93362.
LCM(93353,93362) = 131 × 431 × 1671 × 21 × 466811
LCM(93353,93362) = 8715622786
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