What is the Least Common Multiple of 94354 and 94366?
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 94354 and 94366 is 4451904782.
LCM(94354,94366) = 4451904782
Least Common Multiple of 94354 and 94366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94354 and 94366, than apply into the LCM equation.
GCF(94354,94366) = 2
LCM(94354,94366) = ( 94354 × 94366) / 2
LCM(94354,94366) = 8903809564 / 2
LCM(94354,94366) = 4451904782
Least Common Multiple (LCM) of 94354 and 94366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94354 and 94366. First we will calculate the prime factors of 94354 and 94366.
Prime Factorization of 94354
Prime factors of 94354 are 2, 13, 19, 191. Prime factorization of 94354 in exponential form is:
94354 = 21 × 131 × 191 × 1911
Prime Factorization of 94366
Prime factors of 94366 are 2, 29, 1627. Prime factorization of 94366 in exponential form is:
94366 = 21 × 291 × 16271
Now multiplying the highest exponent prime factors to calculate the LCM of 94354 and 94366.
LCM(94354,94366) = 21 × 131 × 191 × 1911 × 291 × 16271
LCM(94354,94366) = 4451904782
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