What is the Least Common Multiple of 94811 and 94822?
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 94811 and 94822 is 8990168642.
LCM(94811,94822) = 8990168642
Least Common Multiple of 94811 and 94822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94811 and 94822, than apply into the LCM equation.
GCF(94811,94822) = 1
LCM(94811,94822) = ( 94811 × 94822) / 1
LCM(94811,94822) = 8990168642 / 1
LCM(94811,94822) = 8990168642
Least Common Multiple (LCM) of 94811 and 94822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94811 and 94822. First we will calculate the prime factors of 94811 and 94822.
Prime Factorization of 94811
Prime factors of 94811 are 94811. Prime factorization of 94811 in exponential form is:
94811 = 948111
Prime Factorization of 94822
Prime factors of 94822 are 2, 7, 13, 521. Prime factorization of 94822 in exponential form is:
94822 = 21 × 71 × 131 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 94811 and 94822.
LCM(94811,94822) = 948111 × 21 × 71 × 131 × 5211
LCM(94811,94822) = 8990168642
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