What is the Least Common Multiple of 80481 and 80489?
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 80481 and 80489 is 6477835209.
LCM(80481,80489) = 6477835209
Least Common Multiple of 80481 and 80489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80481 and 80489, than apply into the LCM equation.
GCF(80481,80489) = 1
LCM(80481,80489) = ( 80481 × 80489) / 1
LCM(80481,80489) = 6477835209 / 1
LCM(80481,80489) = 6477835209
Least Common Multiple (LCM) of 80481 and 80489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80481 and 80489. First we will calculate the prime factors of 80481 and 80489.
Prime Factorization of 80481
Prime factors of 80481 are 3, 139, 193. Prime factorization of 80481 in exponential form is:
80481 = 31 × 1391 × 1931
Prime Factorization of 80489
Prime factors of 80489 are 80489. Prime factorization of 80489 in exponential form is:
80489 = 804891
Now multiplying the highest exponent prime factors to calculate the LCM of 80481 and 80489.
LCM(80481,80489) = 31 × 1391 × 1931 × 804891
LCM(80481,80489) = 6477835209
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