What is the Least Common Multiple of 92889 and 92893?
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 92889 and 92893 is 8628737877.
LCM(92889,92893) = 8628737877
Least Common Multiple of 92889 and 92893 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92889 and 92893, than apply into the LCM equation.
GCF(92889,92893) = 1
LCM(92889,92893) = ( 92889 × 92893) / 1
LCM(92889,92893) = 8628737877 / 1
LCM(92889,92893) = 8628737877
Least Common Multiple (LCM) of 92889 and 92893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92889 and 92893. First we will calculate the prime factors of 92889 and 92893.
Prime Factorization of 92889
Prime factors of 92889 are 3, 10321. Prime factorization of 92889 in exponential form is:
92889 = 32 × 103211
Prime Factorization of 92893
Prime factors of 92893 are 92893. Prime factorization of 92893 in exponential form is:
92893 = 928931
Now multiplying the highest exponent prime factors to calculate the LCM of 92889 and 92893.
LCM(92889,92893) = 32 × 103211 × 928931
LCM(92889,92893) = 8628737877
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