What is the Least Common Multiple of 96892 and 96911?
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 96892 and 96911 is 9389900612.
LCM(96892,96911) = 9389900612
Least Common Multiple of 96892 and 96911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96892 and 96911, than apply into the LCM equation.
GCF(96892,96911) = 1
LCM(96892,96911) = ( 96892 × 96911) / 1
LCM(96892,96911) = 9389900612 / 1
LCM(96892,96911) = 9389900612
Least Common Multiple (LCM) of 96892 and 96911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96892 and 96911. First we will calculate the prime factors of 96892 and 96911.
Prime Factorization of 96892
Prime factors of 96892 are 2, 24223. Prime factorization of 96892 in exponential form is:
96892 = 22 × 242231
Prime Factorization of 96911
Prime factors of 96911 are 96911. Prime factorization of 96911 in exponential form is:
96911 = 969111
Now multiplying the highest exponent prime factors to calculate the LCM of 96892 and 96911.
LCM(96892,96911) = 22 × 242231 × 969111
LCM(96892,96911) = 9389900612
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