What is the Least Common Multiple of 94831 and 94850?
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 94831 and 94850 is 8994720350.
LCM(94831,94850) = 8994720350
Least Common Multiple of 94831 and 94850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94831 and 94850, than apply into the LCM equation.
GCF(94831,94850) = 1
LCM(94831,94850) = ( 94831 × 94850) / 1
LCM(94831,94850) = 8994720350 / 1
LCM(94831,94850) = 8994720350
Least Common Multiple (LCM) of 94831 and 94850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94831 and 94850. First we will calculate the prime factors of 94831 and 94850.
Prime Factorization of 94831
Prime factors of 94831 are 11, 37, 233. Prime factorization of 94831 in exponential form is:
94831 = 111 × 371 × 2331
Prime Factorization of 94850
Prime factors of 94850 are 2, 5, 7, 271. Prime factorization of 94850 in exponential form is:
94850 = 21 × 52 × 71 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 94831 and 94850.
LCM(94831,94850) = 111 × 371 × 2331 × 21 × 52 × 71 × 2711
LCM(94831,94850) = 8994720350
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