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What is the Least Common Multiple of 80051 and 80062?

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 80051 and 80062 is 6409043162.

LCM(80051,80062) = 6409043162

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Least Common Multiple of 80051 and 80062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80051 and 80062, than apply into the LCM equation.

GCF(80051,80062) = 1
LCM(80051,80062) = ( 80051 × 80062) / 1
LCM(80051,80062) = 6409043162 / 1
LCM(80051,80062) = 6409043162

Least Common Multiple (LCM) of 80051 and 80062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80051 and 80062. First we will calculate the prime factors of 80051 and 80062.

Prime Factorization of 80051

Prime factors of 80051 are 80051. Prime factorization of 80051 in exponential form is:

80051 = 800511

Prime Factorization of 80062

Prime factors of 80062 are 2, 40031. Prime factorization of 80062 in exponential form is:

80062 = 21 × 400311

Now multiplying the highest exponent prime factors to calculate the LCM of 80051 and 80062.

LCM(80051,80062) = 800511 × 21 × 400311
LCM(80051,80062) = 6409043162