What is the Least Common Multiple of 94357 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 94357 and 94366 is 8904092662.
LCM(94357,94366) = 8904092662
Least Common Multiple of 94357 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 94357 and 94366, than apply into the LCM equation.
GCF(94357,94366) = 1
LCM(94357,94366) = ( 94357 × 94366) / 1
LCM(94357,94366) = 8904092662 / 1
LCM(94357,94366) = 8904092662
Least Common Multiple (LCM) of 94357 and 94366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94357 and 94366. First we will calculate the prime factors of 94357 and 94366.
Prime Factorization of 94357
Prime factors of 94357 are 157, 601. Prime factorization of 94357 in exponential form is:
94357 = 1571 × 6011
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 94357 and 94366.
LCM(94357,94366) = 1571 × 6011 × 21 × 291 × 16271
LCM(94357,94366) = 8904092662
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