What is the Least Common Multiple of 80351 and 80366?
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 80351 and 80366 is 6457488466.
LCM(80351,80366) = 6457488466
Least Common Multiple of 80351 and 80366 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80351 and 80366, than apply into the LCM equation.
GCF(80351,80366) = 1
LCM(80351,80366) = ( 80351 × 80366) / 1
LCM(80351,80366) = 6457488466 / 1
LCM(80351,80366) = 6457488466
Least Common Multiple (LCM) of 80351 and 80366 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80351 and 80366. First we will calculate the prime factors of 80351 and 80366.
Prime Factorization of 80351
Prime factors of 80351 are 19, 4229. Prime factorization of 80351 in exponential form is:
80351 = 191 × 42291
Prime Factorization of 80366
Prime factors of 80366 are 2, 11, 13, 281. Prime factorization of 80366 in exponential form is:
80366 = 21 × 111 × 131 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 80351 and 80366.
LCM(80351,80366) = 191 × 42291 × 21 × 111 × 131 × 2811
LCM(80351,80366) = 6457488466
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