What is the Least Common Multiple of 94545 and 94558?
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 94545 and 94558 is 8939986110.
LCM(94545,94558) = 8939986110
Least Common Multiple of 94545 and 94558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94545 and 94558, than apply into the LCM equation.
GCF(94545,94558) = 1
LCM(94545,94558) = ( 94545 × 94558) / 1
LCM(94545,94558) = 8939986110 / 1
LCM(94545,94558) = 8939986110
Least Common Multiple (LCM) of 94545 and 94558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94545 and 94558. First we will calculate the prime factors of 94545 and 94558.
Prime Factorization of 94545
Prime factors of 94545 are 3, 5, 11, 191. Prime factorization of 94545 in exponential form is:
94545 = 32 × 51 × 111 × 1911
Prime Factorization of 94558
Prime factors of 94558 are 2, 47279. Prime factorization of 94558 in exponential form is:
94558 = 21 × 472791
Now multiplying the highest exponent prime factors to calculate the LCM of 94545 and 94558.
LCM(94545,94558) = 32 × 51 × 111 × 1911 × 21 × 472791
LCM(94545,94558) = 8939986110
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