What is the Least Common Multiple of 80246 and 80252?
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 80246 and 80252 is 3219950996.
LCM(80246,80252) = 3219950996
Least Common Multiple of 80246 and 80252 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80246 and 80252, than apply into the LCM equation.
GCF(80246,80252) = 2
LCM(80246,80252) = ( 80246 × 80252) / 2
LCM(80246,80252) = 6439901992 / 2
LCM(80246,80252) = 3219950996
Least Common Multiple (LCM) of 80246 and 80252 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80246 and 80252. First we will calculate the prime factors of 80246 and 80252.
Prime Factorization of 80246
Prime factors of 80246 are 2, 40123. Prime factorization of 80246 in exponential form is:
80246 = 21 × 401231
Prime Factorization of 80252
Prime factors of 80252 are 2, 20063. Prime factorization of 80252 in exponential form is:
80252 = 22 × 200631
Now multiplying the highest exponent prime factors to calculate the LCM of 80246 and 80252.
LCM(80246,80252) = 22 × 401231 × 200631
LCM(80246,80252) = 3219950996
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