What is the Least Common Multiple of 94507 and 94522?
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 94522 is 8932990654.
LCM(94507,94522) = 8932990654
Least Common Multiple of 94507 and 94522 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 94522, than apply into the LCM equation.
GCF(94507,94522) = 1
LCM(94507,94522) = ( 94507 × 94522) / 1
LCM(94507,94522) = 8932990654 / 1
LCM(94507,94522) = 8932990654
Least Common Multiple (LCM) of 94507 and 94522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94507 and 94522. First we will calculate the prime factors of 94507 and 94522.
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 94522
Prime factors of 94522 are 2, 167, 283. Prime factorization of 94522 in exponential form is:
94522 = 21 × 1671 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 94507 and 94522.
LCM(94507,94522) = 71 × 231 × 5871 × 21 × 1671 × 2831
LCM(94507,94522) = 8932990654
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