What is the Least Common Multiple of 95059 and 95079?
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 95059 and 95079 is 9038114661.
LCM(95059,95079) = 9038114661
Least Common Multiple of 95059 and 95079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95059 and 95079, than apply into the LCM equation.
GCF(95059,95079) = 1
LCM(95059,95079) = ( 95059 × 95079) / 1
LCM(95059,95079) = 9038114661 / 1
LCM(95059,95079) = 9038114661
Least Common Multiple (LCM) of 95059 and 95079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95059 and 95079. First we will calculate the prime factors of 95059 and 95079.
Prime Factorization of 95059
Prime factors of 95059 are 23, 4133. Prime factorization of 95059 in exponential form is:
95059 = 231 × 41331
Prime Factorization of 95079
Prime factors of 95079 are 3, 41, 773. Prime factorization of 95079 in exponential form is:
95079 = 31 × 411 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 95059 and 95079.
LCM(95059,95079) = 231 × 41331 × 31 × 411 × 7731
LCM(95059,95079) = 9038114661
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