What is the Least Common Multiple of 96911 and 96931?
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 96911 and 96931 is 9393680141.
LCM(96911,96931) = 9393680141
Least Common Multiple of 96911 and 96931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96911 and 96931, than apply into the LCM equation.
GCF(96911,96931) = 1
LCM(96911,96931) = ( 96911 × 96931) / 1
LCM(96911,96931) = 9393680141 / 1
LCM(96911,96931) = 9393680141
Least Common Multiple (LCM) of 96911 and 96931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96911 and 96931. First we will calculate the prime factors of 96911 and 96931.
Prime Factorization of 96911
Prime factors of 96911 are 96911. Prime factorization of 96911 in exponential form is:
96911 = 969111
Prime Factorization of 96931
Prime factors of 96931 are 96931. Prime factorization of 96931 in exponential form is:
96931 = 969311
Now multiplying the highest exponent prime factors to calculate the LCM of 96911 and 96931.
LCM(96911,96931) = 969111 × 969311
LCM(96911,96931) = 9393680141
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