What is the Least Common Multiple of 93334 and 93348?
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 93348 is 4356271116.
LCM(93334,93348) = 4356271116
Least Common Multiple of 93334 and 93348 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 93348, than apply into the LCM equation.
GCF(93334,93348) = 2
LCM(93334,93348) = ( 93334 × 93348) / 2
LCM(93334,93348) = 8712542232 / 2
LCM(93334,93348) = 4356271116
Least Common Multiple (LCM) of 93334 and 93348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93334 and 93348. First we will calculate the prime factors of 93334 and 93348.
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 93348
Prime factors of 93348 are 2, 3, 2593. Prime factorization of 93348 in exponential form is:
93348 = 22 × 32 × 25931
Now multiplying the highest exponent prime factors to calculate the LCM of 93334 and 93348.
LCM(93334,93348) = 22 × 231 × 20291 × 32 × 25931
LCM(93334,93348) = 4356271116
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