What is the Least Common Multiple of 80524 and 80533?
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 80524 and 80533 is 6484839292.
LCM(80524,80533) = 6484839292
Least Common Multiple of 80524 and 80533 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80524 and 80533, than apply into the LCM equation.
GCF(80524,80533) = 1
LCM(80524,80533) = ( 80524 × 80533) / 1
LCM(80524,80533) = 6484839292 / 1
LCM(80524,80533) = 6484839292
Least Common Multiple (LCM) of 80524 and 80533 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80524 and 80533. First we will calculate the prime factors of 80524 and 80533.
Prime Factorization of 80524
Prime factors of 80524 are 2, 41, 491. Prime factorization of 80524 in exponential form is:
80524 = 22 × 411 × 4911
Prime Factorization of 80533
Prime factors of 80533 are 29, 2777. Prime factorization of 80533 in exponential form is:
80533 = 291 × 27771
Now multiplying the highest exponent prime factors to calculate the LCM of 80524 and 80533.
LCM(80524,80533) = 22 × 411 × 4911 × 291 × 27771
LCM(80524,80533) = 6484839292
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