What is the Least Common Multiple of 94507 and 94515?
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 94507 and 94515 is 8932329105.
LCM(94507,94515) = 8932329105
Least Common Multiple of 94507 and 94515 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94507 and 94515, than apply into the LCM equation.
GCF(94507,94515) = 1
LCM(94507,94515) = ( 94507 × 94515) / 1
LCM(94507,94515) = 8932329105 / 1
LCM(94507,94515) = 8932329105
Least Common Multiple (LCM) of 94507 and 94515 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94507 and 94515. First we will calculate the prime factors of 94507 and 94515.
Prime Factorization of 94507
Prime factors of 94507 are 7, 23, 587. Prime factorization of 94507 in exponential form is:
94507 = 71 × 231 × 5871
Prime Factorization of 94515
Prime factors of 94515 are 3, 5, 6301. Prime factorization of 94515 in exponential form is:
94515 = 31 × 51 × 63011
Now multiplying the highest exponent prime factors to calculate the LCM of 94507 and 94515.
LCM(94507,94515) = 71 × 231 × 5871 × 31 × 51 × 63011
LCM(94507,94515) = 8932329105
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