What is the Least Common Multiple of 93293 and 93307?
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 93293 and 93307 is 8704889951.
LCM(93293,93307) = 8704889951
Least Common Multiple of 93293 and 93307 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93293 and 93307, than apply into the LCM equation.
GCF(93293,93307) = 1
LCM(93293,93307) = ( 93293 × 93307) / 1
LCM(93293,93307) = 8704889951 / 1
LCM(93293,93307) = 8704889951
Least Common Multiple (LCM) of 93293 and 93307 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93293 and 93307. First we will calculate the prime factors of 93293 and 93307.
Prime Factorization of 93293
Prime factors of 93293 are 29, 3217. Prime factorization of 93293 in exponential form is:
93293 = 291 × 32171
Prime Factorization of 93307
Prime factors of 93307 are 93307. Prime factorization of 93307 in exponential form is:
93307 = 933071
Now multiplying the highest exponent prime factors to calculate the LCM of 93293 and 93307.
LCM(93293,93307) = 291 × 32171 × 933071
LCM(93293,93307) = 8704889951
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