What is the Least Common Multiple of 80539 and 80557?
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 80539 and 80557 is 6487980223.
LCM(80539,80557) = 6487980223
Least Common Multiple of 80539 and 80557 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80539 and 80557, than apply into the LCM equation.
GCF(80539,80557) = 1
LCM(80539,80557) = ( 80539 × 80557) / 1
LCM(80539,80557) = 6487980223 / 1
LCM(80539,80557) = 6487980223
Least Common Multiple (LCM) of 80539 and 80557 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80539 and 80557. First we will calculate the prime factors of 80539 and 80557.
Prime Factorization of 80539
Prime factors of 80539 are 43, 1873. Prime factorization of 80539 in exponential form is:
80539 = 431 × 18731
Prime Factorization of 80557
Prime factors of 80557 are 80557. Prime factorization of 80557 in exponential form is:
80557 = 805571
Now multiplying the highest exponent prime factors to calculate the LCM of 80539 and 80557.
LCM(80539,80557) = 431 × 18731 × 805571
LCM(80539,80557) = 6487980223
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