What is the Least Common Multiple of 94417 and 94422?
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 94417 and 94422 is 8915041974.
LCM(94417,94422) = 8915041974
Least Common Multiple of 94417 and 94422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94417 and 94422, than apply into the LCM equation.
GCF(94417,94422) = 1
LCM(94417,94422) = ( 94417 × 94422) / 1
LCM(94417,94422) = 8915041974 / 1
LCM(94417,94422) = 8915041974
Least Common Multiple (LCM) of 94417 and 94422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94417 and 94422. First we will calculate the prime factors of 94417 and 94422.
Prime Factorization of 94417
Prime factors of 94417 are 263, 359. Prime factorization of 94417 in exponential form is:
94417 = 2631 × 3591
Prime Factorization of 94422
Prime factors of 94422 are 2, 3, 15737. Prime factorization of 94422 in exponential form is:
94422 = 21 × 31 × 157371
Now multiplying the highest exponent prime factors to calculate the LCM of 94417 and 94422.
LCM(94417,94422) = 2631 × 3591 × 21 × 31 × 157371
LCM(94417,94422) = 8915041974
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