What is the Least Common Multiple of 80351 and 80359?
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 80359 is 6456926009.
LCM(80351,80359) = 6456926009
Least Common Multiple of 80351 and 80359 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 80359, than apply into the LCM equation.
GCF(80351,80359) = 1
LCM(80351,80359) = ( 80351 × 80359) / 1
LCM(80351,80359) = 6456926009 / 1
LCM(80351,80359) = 6456926009
Least Common Multiple (LCM) of 80351 and 80359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80351 and 80359. First we will calculate the prime factors of 80351 and 80359.
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 80359
Prime factors of 80359 are 17, 29, 163. Prime factorization of 80359 in exponential form is:
80359 = 171 × 291 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 80351 and 80359.
LCM(80351,80359) = 191 × 42291 × 171 × 291 × 1631
LCM(80351,80359) = 6456926009
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