What is the Least Common Multiple of 80242 and 80261?
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 80242 and 80261 is 6440303162.
LCM(80242,80261) = 6440303162
Least Common Multiple of 80242 and 80261 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80242 and 80261, than apply into the LCM equation.
GCF(80242,80261) = 1
LCM(80242,80261) = ( 80242 × 80261) / 1
LCM(80242,80261) = 6440303162 / 1
LCM(80242,80261) = 6440303162
Least Common Multiple (LCM) of 80242 and 80261 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80242 and 80261. First we will calculate the prime factors of 80242 and 80261.
Prime Factorization of 80242
Prime factors of 80242 are 2, 53, 757. Prime factorization of 80242 in exponential form is:
80242 = 21 × 531 × 7571
Prime Factorization of 80261
Prime factors of 80261 are 83, 967. Prime factorization of 80261 in exponential form is:
80261 = 831 × 9671
Now multiplying the highest exponent prime factors to calculate the LCM of 80242 and 80261.
LCM(80242,80261) = 21 × 531 × 7571 × 831 × 9671
LCM(80242,80261) = 6440303162
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