What is the Least Common Multiple of 95704 and 95712?
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 95704 and 95712 is 1145002656.
LCM(95704,95712) = 1145002656
Least Common Multiple of 95704 and 95712 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95704 and 95712, than apply into the LCM equation.
GCF(95704,95712) = 8
LCM(95704,95712) = ( 95704 × 95712) / 8
LCM(95704,95712) = 9160021248 / 8
LCM(95704,95712) = 1145002656
Least Common Multiple (LCM) of 95704 and 95712 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95704 and 95712. First we will calculate the prime factors of 95704 and 95712.
Prime Factorization of 95704
Prime factors of 95704 are 2, 7, 1709. Prime factorization of 95704 in exponential form is:
95704 = 23 × 71 × 17091
Prime Factorization of 95712
Prime factors of 95712 are 2, 3, 997. Prime factorization of 95712 in exponential form is:
95712 = 25 × 31 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 95704 and 95712.
LCM(95704,95712) = 25 × 71 × 17091 × 31 × 9971
LCM(95704,95712) = 1145002656
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