What is the Least Common Multiple of 92878 and 92887?
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 92878 and 92887 is 8627158786.
LCM(92878,92887) = 8627158786
Least Common Multiple of 92878 and 92887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92878 and 92887, than apply into the LCM equation.
GCF(92878,92887) = 1
LCM(92878,92887) = ( 92878 × 92887) / 1
LCM(92878,92887) = 8627158786 / 1
LCM(92878,92887) = 8627158786
Least Common Multiple (LCM) of 92878 and 92887 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92878 and 92887. First we will calculate the prime factors of 92878 and 92887.
Prime Factorization of 92878
Prime factors of 92878 are 2, 46439. Prime factorization of 92878 in exponential form is:
92878 = 21 × 464391
Prime Factorization of 92887
Prime factors of 92887 are 29, 3203. Prime factorization of 92887 in exponential form is:
92887 = 291 × 32031
Now multiplying the highest exponent prime factors to calculate the LCM of 92878 and 92887.
LCM(92878,92887) = 21 × 464391 × 291 × 32031
LCM(92878,92887) = 8627158786
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