What is the Least Common Multiple of 93334 and 93346?
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 93334 and 93346 is 4356177782.
LCM(93334,93346) = 4356177782
Least Common Multiple of 93334 and 93346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93334 and 93346, than apply into the LCM equation.
GCF(93334,93346) = 2
LCM(93334,93346) = ( 93334 × 93346) / 2
LCM(93334,93346) = 8712355564 / 2
LCM(93334,93346) = 4356177782
Least Common Multiple (LCM) of 93334 and 93346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93334 and 93346. First we will calculate the prime factors of 93334 and 93346.
Prime Factorization of 93334
Prime factors of 93334 are 2, 23, 2029. Prime factorization of 93334 in exponential form is:
93334 = 21 × 231 × 20291
Prime Factorization of 93346
Prime factors of 93346 are 2, 11, 4243. Prime factorization of 93346 in exponential form is:
93346 = 21 × 111 × 42431
Now multiplying the highest exponent prime factors to calculate the LCM of 93334 and 93346.
LCM(93334,93346) = 21 × 231 × 20291 × 111 × 42431
LCM(93334,93346) = 4356177782
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