What is the Least Common Multiple of 80062 and 80067?
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 80062 and 80067 is 6410324154.
LCM(80062,80067) = 6410324154
Least Common Multiple of 80062 and 80067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80062 and 80067, than apply into the LCM equation.
GCF(80062,80067) = 1
LCM(80062,80067) = ( 80062 × 80067) / 1
LCM(80062,80067) = 6410324154 / 1
LCM(80062,80067) = 6410324154
Least Common Multiple (LCM) of 80062 and 80067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80062 and 80067. First we will calculate the prime factors of 80062 and 80067.
Prime Factorization of 80062
Prime factors of 80062 are 2, 40031. Prime factorization of 80062 in exponential form is:
80062 = 21 × 400311
Prime Factorization of 80067
Prime factors of 80067 are 3, 13, 2053. Prime factorization of 80067 in exponential form is:
80067 = 31 × 131 × 20531
Now multiplying the highest exponent prime factors to calculate the LCM of 80062 and 80067.
LCM(80062,80067) = 21 × 400311 × 31 × 131 × 20531
LCM(80062,80067) = 6410324154
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