What is the Least Common Multiple of 94482 and 94502?
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 94482 and 94502 is 4464368982.
LCM(94482,94502) = 4464368982
Least Common Multiple of 94482 and 94502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94482 and 94502, than apply into the LCM equation.
GCF(94482,94502) = 2
LCM(94482,94502) = ( 94482 × 94502) / 2
LCM(94482,94502) = 8928737964 / 2
LCM(94482,94502) = 4464368982
Least Common Multiple (LCM) of 94482 and 94502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94482 and 94502. First we will calculate the prime factors of 94482 and 94502.
Prime Factorization of 94482
Prime factors of 94482 are 2, 3, 29, 181. Prime factorization of 94482 in exponential form is:
94482 = 21 × 32 × 291 × 1811
Prime Factorization of 94502
Prime factors of 94502 are 2, 47251. Prime factorization of 94502 in exponential form is:
94502 = 21 × 472511
Now multiplying the highest exponent prime factors to calculate the LCM of 94482 and 94502.
LCM(94482,94502) = 21 × 32 × 291 × 1811 × 472511
LCM(94482,94502) = 4464368982
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