What is the Least Common Multiple of 80877 and 80886?
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 80877 and 80886 is 2180605674.
LCM(80877,80886) = 2180605674
Least Common Multiple of 80877 and 80886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80877 and 80886, than apply into the LCM equation.
GCF(80877,80886) = 3
LCM(80877,80886) = ( 80877 × 80886) / 3
LCM(80877,80886) = 6541817022 / 3
LCM(80877,80886) = 2180605674
Least Common Multiple (LCM) of 80877 and 80886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80877 and 80886. First we will calculate the prime factors of 80877 and 80886.
Prime Factorization of 80877
Prime factors of 80877 are 3, 26959. Prime factorization of 80877 in exponential form is:
80877 = 31 × 269591
Prime Factorization of 80886
Prime factors of 80886 are 2, 3, 13, 17, 61. Prime factorization of 80886 in exponential form is:
80886 = 21 × 31 × 131 × 171 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 80877 and 80886.
LCM(80877,80886) = 31 × 269591 × 21 × 131 × 171 × 611
LCM(80877,80886) = 2180605674
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