What is the Least Common Multiple of 95687 and 95699?
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 95687 and 95699 is 9157150213.
LCM(95687,95699) = 9157150213
Least Common Multiple of 95687 and 95699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95687 and 95699, than apply into the LCM equation.
GCF(95687,95699) = 1
LCM(95687,95699) = ( 95687 × 95699) / 1
LCM(95687,95699) = 9157150213 / 1
LCM(95687,95699) = 9157150213
Least Common Multiple (LCM) of 95687 and 95699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95687 and 95699. First we will calculate the prime factors of 95687 and 95699.
Prime Factorization of 95687
Prime factors of 95687 are 103, 929. Prime factorization of 95687 in exponential form is:
95687 = 1031 × 9291
Prime Factorization of 95699
Prime factors of 95699 are 83, 1153. Prime factorization of 95699 in exponential form is:
95699 = 831 × 11531
Now multiplying the highest exponent prime factors to calculate the LCM of 95687 and 95699.
LCM(95687,95699) = 1031 × 9291 × 831 × 11531
LCM(95687,95699) = 9157150213
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