What is the Least Common Multiple of 92917 and 92926?
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 92917 and 92926 is 8634405142.
LCM(92917,92926) = 8634405142
Least Common Multiple of 92917 and 92926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92917 and 92926, than apply into the LCM equation.
GCF(92917,92926) = 1
LCM(92917,92926) = ( 92917 × 92926) / 1
LCM(92917,92926) = 8634405142 / 1
LCM(92917,92926) = 8634405142
Least Common Multiple (LCM) of 92917 and 92926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92917 and 92926. First we will calculate the prime factors of 92917 and 92926.
Prime Factorization of 92917
Prime factors of 92917 are 11, 8447. Prime factorization of 92917 in exponential form is:
92917 = 111 × 84471
Prime Factorization of 92926
Prime factors of 92926 are 2, 97, 479. Prime factorization of 92926 in exponential form is:
92926 = 21 × 971 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 92917 and 92926.
LCM(92917,92926) = 111 × 84471 × 21 × 971 × 4791
LCM(92917,92926) = 8634405142
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