What is the Least Common Multiple of 93319 and 93338?
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 93319 and 93338 is 8710208822.
LCM(93319,93338) = 8710208822
Least Common Multiple of 93319 and 93338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93319 and 93338, than apply into the LCM equation.
GCF(93319,93338) = 1
LCM(93319,93338) = ( 93319 × 93338) / 1
LCM(93319,93338) = 8710208822 / 1
LCM(93319,93338) = 8710208822
Least Common Multiple (LCM) of 93319 and 93338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93319 and 93338. First we will calculate the prime factors of 93319 and 93338.
Prime Factorization of 93319
Prime factors of 93319 are 93319. Prime factorization of 93319 in exponential form is:
93319 = 933191
Prime Factorization of 93338
Prime factors of 93338 are 2, 7, 59, 113. Prime factorization of 93338 in exponential form is:
93338 = 21 × 71 × 591 × 1131
Now multiplying the highest exponent prime factors to calculate the LCM of 93319 and 93338.
LCM(93319,93338) = 933191 × 21 × 71 × 591 × 1131
LCM(93319,93338) = 8710208822
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