What is the Least Common Multiple of 95727 and 95732?
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 95727 and 95732 is 9164137164.
LCM(95727,95732) = 9164137164
Least Common Multiple of 95727 and 95732 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95727 and 95732, than apply into the LCM equation.
GCF(95727,95732) = 1
LCM(95727,95732) = ( 95727 × 95732) / 1
LCM(95727,95732) = 9164137164 / 1
LCM(95727,95732) = 9164137164
Least Common Multiple (LCM) of 95727 and 95732 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95727 and 95732. First we will calculate the prime factors of 95727 and 95732.
Prime Factorization of 95727
Prime factors of 95727 are 3, 17, 1877. Prime factorization of 95727 in exponential form is:
95727 = 31 × 171 × 18771
Prime Factorization of 95732
Prime factors of 95732 are 2, 7, 13, 263. Prime factorization of 95732 in exponential form is:
95732 = 22 × 71 × 131 × 2631
Now multiplying the highest exponent prime factors to calculate the LCM of 95727 and 95732.
LCM(95727,95732) = 31 × 171 × 18771 × 22 × 71 × 131 × 2631
LCM(95727,95732) = 9164137164
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