What is the Least Common Multiple of 80639 and 80643?
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 80639 and 80643 is 6502970877.
LCM(80639,80643) = 6502970877
Least Common Multiple of 80639 and 80643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80639 and 80643, than apply into the LCM equation.
GCF(80639,80643) = 1
LCM(80639,80643) = ( 80639 × 80643) / 1
LCM(80639,80643) = 6502970877 / 1
LCM(80639,80643) = 6502970877
Least Common Multiple (LCM) of 80639 and 80643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80639 and 80643. First we will calculate the prime factors of 80639 and 80643.
Prime Factorization of 80639
Prime factors of 80639 are 13, 6203. Prime factorization of 80639 in exponential form is:
80639 = 131 × 62031
Prime Factorization of 80643
Prime factors of 80643 are 3, 26881. Prime factorization of 80643 in exponential form is:
80643 = 31 × 268811
Now multiplying the highest exponent prime factors to calculate the LCM of 80639 and 80643.
LCM(80639,80643) = 131 × 62031 × 31 × 268811
LCM(80639,80643) = 6502970877
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