What is the Least Common Multiple of 92771 and 92779?
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 92771 and 92779 is 8607200609.
LCM(92771,92779) = 8607200609
Least Common Multiple of 92771 and 92779 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92771 and 92779, than apply into the LCM equation.
GCF(92771,92779) = 1
LCM(92771,92779) = ( 92771 × 92779) / 1
LCM(92771,92779) = 8607200609 / 1
LCM(92771,92779) = 8607200609
Least Common Multiple (LCM) of 92771 and 92779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92771 and 92779. First we will calculate the prime factors of 92771 and 92779.
Prime Factorization of 92771
Prime factors of 92771 are 7, 29, 457. Prime factorization of 92771 in exponential form is:
92771 = 71 × 291 × 4571
Prime Factorization of 92779
Prime factors of 92779 are 92779. Prime factorization of 92779 in exponential form is:
92779 = 927791
Now multiplying the highest exponent prime factors to calculate the LCM of 92771 and 92779.
LCM(92771,92779) = 71 × 291 × 4571 × 927791
LCM(92771,92779) = 8607200609
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