What is the Least Common Multiple of 95787 and 95799?
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 95787 and 95799 is 3058766271.
LCM(95787,95799) = 3058766271
Least Common Multiple of 95787 and 95799 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95787 and 95799, than apply into the LCM equation.
GCF(95787,95799) = 3
LCM(95787,95799) = ( 95787 × 95799) / 3
LCM(95787,95799) = 9176298813 / 3
LCM(95787,95799) = 3058766271
Least Common Multiple (LCM) of 95787 and 95799 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95787 and 95799. First we will calculate the prime factors of 95787 and 95799.
Prime Factorization of 95787
Prime factors of 95787 are 3, 29, 367. Prime factorization of 95787 in exponential form is:
95787 = 32 × 291 × 3671
Prime Factorization of 95799
Prime factors of 95799 are 3, 11, 2903. Prime factorization of 95799 in exponential form is:
95799 = 31 × 111 × 29031
Now multiplying the highest exponent prime factors to calculate the LCM of 95787 and 95799.
LCM(95787,95799) = 32 × 291 × 3671 × 111 × 29031
LCM(95787,95799) = 3058766271
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