What is the Least Common Multiple of 94094 and 94099?
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 94094 and 94099 is 8854151306.
LCM(94094,94099) = 8854151306
Least Common Multiple of 94094 and 94099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94094 and 94099, than apply into the LCM equation.
GCF(94094,94099) = 1
LCM(94094,94099) = ( 94094 × 94099) / 1
LCM(94094,94099) = 8854151306 / 1
LCM(94094,94099) = 8854151306
Least Common Multiple (LCM) of 94094 and 94099 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94094 and 94099. First we will calculate the prime factors of 94094 and 94099.
Prime Factorization of 94094
Prime factors of 94094 are 2, 7, 11, 13, 47. Prime factorization of 94094 in exponential form is:
94094 = 21 × 71 × 111 × 131 × 471
Prime Factorization of 94099
Prime factors of 94099 are 94099. Prime factorization of 94099 in exponential form is:
94099 = 940991
Now multiplying the highest exponent prime factors to calculate the LCM of 94094 and 94099.
LCM(94094,94099) = 21 × 71 × 111 × 131 × 471 × 940991
LCM(94094,94099) = 8854151306
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