What is the Least Common Multiple of 80605 and 80611?
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 80605 and 80611 is 6497649655.
LCM(80605,80611) = 6497649655
Least Common Multiple of 80605 and 80611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80605 and 80611, than apply into the LCM equation.
GCF(80605,80611) = 1
LCM(80605,80611) = ( 80605 × 80611) / 1
LCM(80605,80611) = 6497649655 / 1
LCM(80605,80611) = 6497649655
Least Common Multiple (LCM) of 80605 and 80611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80605 and 80611. First we will calculate the prime factors of 80605 and 80611.
Prime Factorization of 80605
Prime factors of 80605 are 5, 7, 47. Prime factorization of 80605 in exponential form is:
80605 = 51 × 73 × 471
Prime Factorization of 80611
Prime factors of 80611 are 80611. Prime factorization of 80611 in exponential form is:
80611 = 806111
Now multiplying the highest exponent prime factors to calculate the LCM of 80605 and 80611.
LCM(80605,80611) = 51 × 73 × 471 × 806111
LCM(80605,80611) = 6497649655
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