What is the Least Common Multiple of 92790 and 92794?
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 92790 and 92794 is 4305177630.
LCM(92790,92794) = 4305177630
Least Common Multiple of 92790 and 92794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92790 and 92794, than apply into the LCM equation.
GCF(92790,92794) = 2
LCM(92790,92794) = ( 92790 × 92794) / 2
LCM(92790,92794) = 8610355260 / 2
LCM(92790,92794) = 4305177630
Least Common Multiple (LCM) of 92790 and 92794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92790 and 92794. First we will calculate the prime factors of 92790 and 92794.
Prime Factorization of 92790
Prime factors of 92790 are 2, 3, 5, 1031. Prime factorization of 92790 in exponential form is:
92790 = 21 × 32 × 51 × 10311
Prime Factorization of 92794
Prime factors of 92794 are 2, 13, 43, 83. Prime factorization of 92794 in exponential form is:
92794 = 21 × 131 × 431 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 92790 and 92794.
LCM(92790,92794) = 21 × 32 × 51 × 10311 × 131 × 431 × 831
LCM(92790,92794) = 4305177630
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