What is the Least Common Multiple of 94318 and 94322?
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 94318 and 94322 is 4448131198.
LCM(94318,94322) = 4448131198
Least Common Multiple of 94318 and 94322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94318 and 94322, than apply into the LCM equation.
GCF(94318,94322) = 2
LCM(94318,94322) = ( 94318 × 94322) / 2
LCM(94318,94322) = 8896262396 / 2
LCM(94318,94322) = 4448131198
Least Common Multiple (LCM) of 94318 and 94322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94318 and 94322. First we will calculate the prime factors of 94318 and 94322.
Prime Factorization of 94318
Prime factors of 94318 are 2, 7, 6737. Prime factorization of 94318 in exponential form is:
94318 = 21 × 71 × 67371
Prime Factorization of 94322
Prime factors of 94322 are 2, 47161. Prime factorization of 94322 in exponential form is:
94322 = 21 × 471611
Now multiplying the highest exponent prime factors to calculate the LCM of 94318 and 94322.
LCM(94318,94322) = 21 × 71 × 67371 × 471611
LCM(94318,94322) = 4448131198
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