What is the Least Common Multiple of 94418 and 94437?
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 94418 and 94437 is 8916552666.
LCM(94418,94437) = 8916552666
Least Common Multiple of 94418 and 94437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94418 and 94437, than apply into the LCM equation.
GCF(94418,94437) = 1
LCM(94418,94437) = ( 94418 × 94437) / 1
LCM(94418,94437) = 8916552666 / 1
LCM(94418,94437) = 8916552666
Least Common Multiple (LCM) of 94418 and 94437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94418 and 94437. First we will calculate the prime factors of 94418 and 94437.
Prime Factorization of 94418
Prime factors of 94418 are 2, 17, 2777. Prime factorization of 94418 in exponential form is:
94418 = 21 × 171 × 27771
Prime Factorization of 94437
Prime factors of 94437 are 3, 7, 1499. Prime factorization of 94437 in exponential form is:
94437 = 32 × 71 × 14991
Now multiplying the highest exponent prime factors to calculate the LCM of 94418 and 94437.
LCM(94418,94437) = 21 × 171 × 27771 × 32 × 71 × 14991
LCM(94418,94437) = 8916552666
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