What is the Least Common Multiple of 92840 and 92853?
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 92840 and 92853 is 8620472520.
LCM(92840,92853) = 8620472520
Least Common Multiple of 92840 and 92853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92840 and 92853, than apply into the LCM equation.
GCF(92840,92853) = 1
LCM(92840,92853) = ( 92840 × 92853) / 1
LCM(92840,92853) = 8620472520 / 1
LCM(92840,92853) = 8620472520
Least Common Multiple (LCM) of 92840 and 92853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92840 and 92853. First we will calculate the prime factors of 92840 and 92853.
Prime Factorization of 92840
Prime factors of 92840 are 2, 5, 11, 211. Prime factorization of 92840 in exponential form is:
92840 = 23 × 51 × 111 × 2111
Prime Factorization of 92853
Prime factors of 92853 are 3, 19, 181. Prime factorization of 92853 in exponential form is:
92853 = 33 × 191 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 92840 and 92853.
LCM(92840,92853) = 23 × 51 × 111 × 2111 × 33 × 191 × 1811
LCM(92840,92853) = 8620472520
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