What is the Least Common Multiple of 94827 and 94831?
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 94827 and 94831 is 8992539237.
LCM(94827,94831) = 8992539237
Least Common Multiple of 94827 and 94831 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94827 and 94831, than apply into the LCM equation.
GCF(94827,94831) = 1
LCM(94827,94831) = ( 94827 × 94831) / 1
LCM(94827,94831) = 8992539237 / 1
LCM(94827,94831) = 8992539237
Least Common Multiple (LCM) of 94827 and 94831 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94827 and 94831. First we will calculate the prime factors of 94827 and 94831.
Prime Factorization of 94827
Prime factors of 94827 are 3, 73, 433. Prime factorization of 94827 in exponential form is:
94827 = 31 × 731 × 4331
Prime Factorization of 94831
Prime factors of 94831 are 11, 37, 233. Prime factorization of 94831 in exponential form is:
94831 = 111 × 371 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 94827 and 94831.
LCM(94827,94831) = 31 × 731 × 4331 × 111 × 371 × 2331
LCM(94827,94831) = 8992539237
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