What is the Least Common Multiple of 80515 and 80531?
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 80515 and 80531 is 6483953465.
LCM(80515,80531) = 6483953465
Least Common Multiple of 80515 and 80531 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80515 and 80531, than apply into the LCM equation.
GCF(80515,80531) = 1
LCM(80515,80531) = ( 80515 × 80531) / 1
LCM(80515,80531) = 6483953465 / 1
LCM(80515,80531) = 6483953465
Least Common Multiple (LCM) of 80515 and 80531 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80515 and 80531. First we will calculate the prime factors of 80515 and 80531.
Prime Factorization of 80515
Prime factors of 80515 are 5, 16103. Prime factorization of 80515 in exponential form is:
80515 = 51 × 161031
Prime Factorization of 80531
Prime factors of 80531 are 11, 7321. Prime factorization of 80531 in exponential form is:
80531 = 111 × 73211
Now multiplying the highest exponent prime factors to calculate the LCM of 80515 and 80531.
LCM(80515,80531) = 51 × 161031 × 111 × 73211
LCM(80515,80531) = 6483953465
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