What is the Least Common Multiple of 94482 and 94490?
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 94490 is 4463802090.
LCM(94482,94490) = 4463802090
Least Common Multiple of 94482 and 94490 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 94490, than apply into the LCM equation.
GCF(94482,94490) = 2
LCM(94482,94490) = ( 94482 × 94490) / 2
LCM(94482,94490) = 8927604180 / 2
LCM(94482,94490) = 4463802090
Least Common Multiple (LCM) of 94482 and 94490 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94482 and 94490. First we will calculate the prime factors of 94482 and 94490.
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 94490
Prime factors of 94490 are 2, 5, 11, 859. Prime factorization of 94490 in exponential form is:
94490 = 21 × 51 × 111 × 8591
Now multiplying the highest exponent prime factors to calculate the LCM of 94482 and 94490.
LCM(94482,94490) = 21 × 32 × 291 × 1811 × 51 × 111 × 8591
LCM(94482,94490) = 4463802090
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