What is the Least Common Multiple of 96866 and 96875?
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 96866 and 96875 is 9383893750.
LCM(96866,96875) = 9383893750
Least Common Multiple of 96866 and 96875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96866 and 96875, than apply into the LCM equation.
GCF(96866,96875) = 1
LCM(96866,96875) = ( 96866 × 96875) / 1
LCM(96866,96875) = 9383893750 / 1
LCM(96866,96875) = 9383893750
Least Common Multiple (LCM) of 96866 and 96875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96866 and 96875. First we will calculate the prime factors of 96866 and 96875.
Prime Factorization of 96866
Prime factors of 96866 are 2, 7, 11, 17, 37. Prime factorization of 96866 in exponential form is:
96866 = 21 × 71 × 111 × 171 × 371
Prime Factorization of 96875
Prime factors of 96875 are 5, 31. Prime factorization of 96875 in exponential form is:
96875 = 55 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 96866 and 96875.
LCM(96866,96875) = 21 × 71 × 111 × 171 × 371 × 55 × 311
LCM(96866,96875) = 9383893750
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