What is the Least Common Multiple of 95681 and 95691?
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 95681 and 95691 is 9155810571.
LCM(95681,95691) = 9155810571
Least Common Multiple of 95681 and 95691 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95681 and 95691, than apply into the LCM equation.
GCF(95681,95691) = 1
LCM(95681,95691) = ( 95681 × 95691) / 1
LCM(95681,95691) = 9155810571 / 1
LCM(95681,95691) = 9155810571
Least Common Multiple (LCM) of 95681 and 95691 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95681 and 95691. First we will calculate the prime factors of 95681 and 95691.
Prime Factorization of 95681
Prime factors of 95681 are 163, 587. Prime factorization of 95681 in exponential form is:
95681 = 1631 × 5871
Prime Factorization of 95691
Prime factors of 95691 are 3, 167, 191. Prime factorization of 95691 in exponential form is:
95691 = 31 × 1671 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 95681 and 95691.
LCM(95681,95691) = 1631 × 5871 × 31 × 1671 × 1911
LCM(95681,95691) = 9155810571
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