What is the Least Common Multiple of 95487 and 95495?
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 95487 and 95495 is 9118531065.
LCM(95487,95495) = 9118531065
Least Common Multiple of 95487 and 95495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95487 and 95495, than apply into the LCM equation.
GCF(95487,95495) = 1
LCM(95487,95495) = ( 95487 × 95495) / 1
LCM(95487,95495) = 9118531065 / 1
LCM(95487,95495) = 9118531065
Least Common Multiple (LCM) of 95487 and 95495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95487 and 95495. First we will calculate the prime factors of 95487 and 95495.
Prime Factorization of 95487
Prime factors of 95487 are 3, 7, 4547. Prime factorization of 95487 in exponential form is:
95487 = 31 × 71 × 45471
Prime Factorization of 95495
Prime factors of 95495 are 5, 71, 269. Prime factorization of 95495 in exponential form is:
95495 = 51 × 711 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 95487 and 95495.
LCM(95487,95495) = 31 × 71 × 45471 × 51 × 711 × 2691
LCM(95487,95495) = 9118531065
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