What is the Least Common Multiple of 80469 and 80488?
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 80469 and 80488 is 6476788872.
LCM(80469,80488) = 6476788872
Least Common Multiple of 80469 and 80488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80469 and 80488, than apply into the LCM equation.
GCF(80469,80488) = 1
LCM(80469,80488) = ( 80469 × 80488) / 1
LCM(80469,80488) = 6476788872 / 1
LCM(80469,80488) = 6476788872
Least Common Multiple (LCM) of 80469 and 80488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80469 and 80488. First we will calculate the prime factors of 80469 and 80488.
Prime Factorization of 80469
Prime factors of 80469 are 3, 8941. Prime factorization of 80469 in exponential form is:
80469 = 32 × 89411
Prime Factorization of 80488
Prime factors of 80488 are 2, 10061. Prime factorization of 80488 in exponential form is:
80488 = 23 × 100611
Now multiplying the highest exponent prime factors to calculate the LCM of 80469 and 80488.
LCM(80469,80488) = 32 × 89411 × 23 × 100611
LCM(80469,80488) = 6476788872
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