What is the Least Common Multiple of 80273 and 80285?
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 80273 and 80285 is 6444717805.
LCM(80273,80285) = 6444717805
Least Common Multiple of 80273 and 80285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80273 and 80285, than apply into the LCM equation.
GCF(80273,80285) = 1
LCM(80273,80285) = ( 80273 × 80285) / 1
LCM(80273,80285) = 6444717805 / 1
LCM(80273,80285) = 6444717805
Least Common Multiple (LCM) of 80273 and 80285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80273 and 80285. First we will calculate the prime factors of 80273 and 80285.
Prime Factorization of 80273
Prime factors of 80273 are 80273. Prime factorization of 80273 in exponential form is:
80273 = 802731
Prime Factorization of 80285
Prime factors of 80285 are 5, 16057. Prime factorization of 80285 in exponential form is:
80285 = 51 × 160571
Now multiplying the highest exponent prime factors to calculate the LCM of 80273 and 80285.
LCM(80273,80285) = 802731 × 51 × 160571
LCM(80273,80285) = 6444717805
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