What is the Least Common Multiple of 93308 and 93326?
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 93308 and 93326 is 4354031204.
LCM(93308,93326) = 4354031204
Least Common Multiple of 93308 and 93326 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93308 and 93326, than apply into the LCM equation.
GCF(93308,93326) = 2
LCM(93308,93326) = ( 93308 × 93326) / 2
LCM(93308,93326) = 8708062408 / 2
LCM(93308,93326) = 4354031204
Least Common Multiple (LCM) of 93308 and 93326 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93308 and 93326. First we will calculate the prime factors of 93308 and 93326.
Prime Factorization of 93308
Prime factors of 93308 are 2, 23327. Prime factorization of 93308 in exponential form is:
93308 = 22 × 233271
Prime Factorization of 93326
Prime factors of 93326 are 2, 46663. Prime factorization of 93326 in exponential form is:
93326 = 21 × 466631
Now multiplying the highest exponent prime factors to calculate the LCM of 93308 and 93326.
LCM(93308,93326) = 22 × 233271 × 466631
LCM(93308,93326) = 4354031204
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