What is the Least Common Multiple of 80467 and 80487?
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 80467 and 80487 is 6476547429.
LCM(80467,80487) = 6476547429
Least Common Multiple of 80467 and 80487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80467 and 80487, than apply into the LCM equation.
GCF(80467,80487) = 1
LCM(80467,80487) = ( 80467 × 80487) / 1
LCM(80467,80487) = 6476547429 / 1
LCM(80467,80487) = 6476547429
Least Common Multiple (LCM) of 80467 and 80487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80467 and 80487. First we will calculate the prime factors of 80467 and 80487.
Prime Factorization of 80467
Prime factors of 80467 are 67, 1201. Prime factorization of 80467 in exponential form is:
80467 = 671 × 12011
Prime Factorization of 80487
Prime factors of 80487 are 3, 11, 271. Prime factorization of 80487 in exponential form is:
80487 = 33 × 111 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 80467 and 80487.
LCM(80467,80487) = 671 × 12011 × 33 × 111 × 2711
LCM(80467,80487) = 6476547429
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