What is the Least Common Multiple of 94871 and 94875?
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 94871 and 94875 is 9000886125.
LCM(94871,94875) = 9000886125
Least Common Multiple of 94871 and 94875 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94871 and 94875, than apply into the LCM equation.
GCF(94871,94875) = 1
LCM(94871,94875) = ( 94871 × 94875) / 1
LCM(94871,94875) = 9000886125 / 1
LCM(94871,94875) = 9000886125
Least Common Multiple (LCM) of 94871 and 94875 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94871 and 94875. First we will calculate the prime factors of 94871 and 94875.
Prime Factorization of 94871
Prime factors of 94871 are 7, 13553. Prime factorization of 94871 in exponential form is:
94871 = 71 × 135531
Prime Factorization of 94875
Prime factors of 94875 are 3, 5, 11, 23. Prime factorization of 94875 in exponential form is:
94875 = 31 × 53 × 111 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 94871 and 94875.
LCM(94871,94875) = 71 × 135531 × 31 × 53 × 111 × 231
LCM(94871,94875) = 9000886125
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