What is the Least Common Multiple of 95774 and 95793?
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 95774 and 95793 is 9174478782.
LCM(95774,95793) = 9174478782
Least Common Multiple of 95774 and 95793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95774 and 95793, than apply into the LCM equation.
GCF(95774,95793) = 1
LCM(95774,95793) = ( 95774 × 95793) / 1
LCM(95774,95793) = 9174478782 / 1
LCM(95774,95793) = 9174478782
Least Common Multiple (LCM) of 95774 and 95793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95774 and 95793. First we will calculate the prime factors of 95774 and 95793.
Prime Factorization of 95774
Prime factors of 95774 are 2, 7, 6841. Prime factorization of 95774 in exponential form is:
95774 = 21 × 71 × 68411
Prime Factorization of 95793
Prime factors of 95793 are 3, 37, 863. Prime factorization of 95793 in exponential form is:
95793 = 31 × 371 × 8631
Now multiplying the highest exponent prime factors to calculate the LCM of 95774 and 95793.
LCM(95774,95793) = 21 × 71 × 68411 × 31 × 371 × 8631
LCM(95774,95793) = 9174478782
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