What is the Least Common Multiple of 94276 and 94285?
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 94276 and 94285 is 8888812660.
LCM(94276,94285) = 8888812660
Least Common Multiple of 94276 and 94285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94276 and 94285, than apply into the LCM equation.
GCF(94276,94285) = 1
LCM(94276,94285) = ( 94276 × 94285) / 1
LCM(94276,94285) = 8888812660 / 1
LCM(94276,94285) = 8888812660
Least Common Multiple (LCM) of 94276 and 94285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94276 and 94285. First we will calculate the prime factors of 94276 and 94285.
Prime Factorization of 94276
Prime factors of 94276 are 2, 7, 13, 37. Prime factorization of 94276 in exponential form is:
94276 = 22 × 72 × 131 × 371
Prime Factorization of 94285
Prime factors of 94285 are 5, 109, 173. Prime factorization of 94285 in exponential form is:
94285 = 51 × 1091 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 94276 and 94285.
LCM(94276,94285) = 22 × 72 × 131 × 371 × 51 × 1091 × 1731
LCM(94276,94285) = 8888812660
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