What is the Least Common Multiple of 94028 and 94047?
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 94028 and 94047 is 8843051316.
LCM(94028,94047) = 8843051316
Least Common Multiple of 94028 and 94047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94028 and 94047, than apply into the LCM equation.
GCF(94028,94047) = 1
LCM(94028,94047) = ( 94028 × 94047) / 1
LCM(94028,94047) = 8843051316 / 1
LCM(94028,94047) = 8843051316
Least Common Multiple (LCM) of 94028 and 94047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94028 and 94047. First we will calculate the prime factors of 94028 and 94047.
Prime Factorization of 94028
Prime factors of 94028 are 2, 11, 2137. Prime factorization of 94028 in exponential form is:
94028 = 22 × 111 × 21371
Prime Factorization of 94047
Prime factors of 94047 are 3, 23, 29, 47. Prime factorization of 94047 in exponential form is:
94047 = 31 × 231 × 291 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 94028 and 94047.
LCM(94028,94047) = 22 × 111 × 21371 × 31 × 231 × 291 × 471
LCM(94028,94047) = 8843051316
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