What is the Least Common Multiple of 94406 and 94417?
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 94406 and 94417 is 8913531302.
LCM(94406,94417) = 8913531302
Least Common Multiple of 94406 and 94417 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94406 and 94417, than apply into the LCM equation.
GCF(94406,94417) = 1
LCM(94406,94417) = ( 94406 × 94417) / 1
LCM(94406,94417) = 8913531302 / 1
LCM(94406,94417) = 8913531302
Least Common Multiple (LCM) of 94406 and 94417 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94406 and 94417. First we will calculate the prime factors of 94406 and 94417.
Prime Factorization of 94406
Prime factors of 94406 are 2, 13, 3631. Prime factorization of 94406 in exponential form is:
94406 = 21 × 131 × 36311
Prime Factorization of 94417
Prime factors of 94417 are 263, 359. Prime factorization of 94417 in exponential form is:
94417 = 2631 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 94406 and 94417.
LCM(94406,94417) = 21 × 131 × 36311 × 2631 × 3591
LCM(94406,94417) = 8913531302
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