What is the Least Common Multiple of 80583 and 80603?
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 80583 and 80603 is 6495231549.
LCM(80583,80603) = 6495231549
Least Common Multiple of 80583 and 80603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80583 and 80603, than apply into the LCM equation.
GCF(80583,80603) = 1
LCM(80583,80603) = ( 80583 × 80603) / 1
LCM(80583,80603) = 6495231549 / 1
LCM(80583,80603) = 6495231549
Least Common Multiple (LCM) of 80583 and 80603 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80583 and 80603. First we will calculate the prime factors of 80583 and 80603.
Prime Factorization of 80583
Prime factors of 80583 are 3, 26861. Prime factorization of 80583 in exponential form is:
80583 = 31 × 268611
Prime Factorization of 80603
Prime factors of 80603 are 80603. Prime factorization of 80603 in exponential form is:
80603 = 806031
Now multiplying the highest exponent prime factors to calculate the LCM of 80583 and 80603.
LCM(80583,80603) = 31 × 268611 × 806031
LCM(80583,80603) = 6495231549
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