What is the Least Common Multiple of 94386 and 94391?
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 94386 and 94391 is 8909188926.
LCM(94386,94391) = 8909188926
Least Common Multiple of 94386 and 94391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94386 and 94391, than apply into the LCM equation.
GCF(94386,94391) = 1
LCM(94386,94391) = ( 94386 × 94391) / 1
LCM(94386,94391) = 8909188926 / 1
LCM(94386,94391) = 8909188926
Least Common Multiple (LCM) of 94386 and 94391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94386 and 94391. First we will calculate the prime factors of 94386 and 94391.
Prime Factorization of 94386
Prime factors of 94386 are 2, 3, 15731. Prime factorization of 94386 in exponential form is:
94386 = 21 × 31 × 157311
Prime Factorization of 94391
Prime factors of 94391 are 11, 8581. Prime factorization of 94391 in exponential form is:
94391 = 111 × 85811
Now multiplying the highest exponent prime factors to calculate the LCM of 94386 and 94391.
LCM(94386,94391) = 21 × 31 × 157311 × 111 × 85811
LCM(94386,94391) = 8909188926
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