What is the Least Common Multiple of 93378 and 93383?
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 93378 and 93383 is 8719917774.
LCM(93378,93383) = 8719917774
Least Common Multiple of 93378 and 93383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93378 and 93383, than apply into the LCM equation.
GCF(93378,93383) = 1
LCM(93378,93383) = ( 93378 × 93383) / 1
LCM(93378,93383) = 8719917774 / 1
LCM(93378,93383) = 8719917774
Least Common Multiple (LCM) of 93378 and 93383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93378 and 93383. First we will calculate the prime factors of 93378 and 93383.
Prime Factorization of 93378
Prime factors of 93378 are 2, 3, 79, 197. Prime factorization of 93378 in exponential form is:
93378 = 21 × 31 × 791 × 1971
Prime Factorization of 93383
Prime factors of 93383 are 93383. Prime factorization of 93383 in exponential form is:
93383 = 933831
Now multiplying the highest exponent prime factors to calculate the LCM of 93378 and 93383.
LCM(93378,93383) = 21 × 31 × 791 × 1971 × 933831
LCM(93378,93383) = 8719917774
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