What is the Least Common Multiple of 93109 and 93122?
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 93109 and 93122 is 8670496298.
LCM(93109,93122) = 8670496298
Least Common Multiple of 93109 and 93122 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93109 and 93122, than apply into the LCM equation.
GCF(93109,93122) = 1
LCM(93109,93122) = ( 93109 × 93122) / 1
LCM(93109,93122) = 8670496298 / 1
LCM(93109,93122) = 8670496298
Least Common Multiple (LCM) of 93109 and 93122 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93109 and 93122. First we will calculate the prime factors of 93109 and 93122.
Prime Factorization of 93109
Prime factors of 93109 are 17, 5477. Prime factorization of 93109 in exponential form is:
93109 = 171 × 54771
Prime Factorization of 93122
Prime factors of 93122 are 2, 101, 461. Prime factorization of 93122 in exponential form is:
93122 = 21 × 1011 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 93109 and 93122.
LCM(93109,93122) = 171 × 54771 × 21 × 1011 × 4611
LCM(93109,93122) = 8670496298
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