What is the Least Common Multiple of 92797 and 92802?
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 92797 and 92802 is 8611747194.
LCM(92797,92802) = 8611747194
Least Common Multiple of 92797 and 92802 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92797 and 92802, than apply into the LCM equation.
GCF(92797,92802) = 1
LCM(92797,92802) = ( 92797 × 92802) / 1
LCM(92797,92802) = 8611747194 / 1
LCM(92797,92802) = 8611747194
Least Common Multiple (LCM) of 92797 and 92802 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92797 and 92802. First we will calculate the prime factors of 92797 and 92802.
Prime Factorization of 92797
Prime factors of 92797 are 71, 1307. Prime factorization of 92797 in exponential form is:
92797 = 711 × 13071
Prime Factorization of 92802
Prime factors of 92802 are 2, 3, 15467. Prime factorization of 92802 in exponential form is:
92802 = 21 × 31 × 154671
Now multiplying the highest exponent prime factors to calculate the LCM of 92797 and 92802.
LCM(92797,92802) = 711 × 13071 × 21 × 31 × 154671
LCM(92797,92802) = 8611747194
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