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What is the Least Common Multiple of 85051 and 85062?

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 85051 and 85062 is 7234608162.

LCM(85051,85062) = 7234608162

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Least Common Multiple of 85051 and 85062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85051 and 85062, than apply into the LCM equation.

GCF(85051,85062) = 1
LCM(85051,85062) = ( 85051 × 85062) / 1
LCM(85051,85062) = 7234608162 / 1
LCM(85051,85062) = 7234608162

Least Common Multiple (LCM) of 85051 and 85062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85051 and 85062. First we will calculate the prime factors of 85051 and 85062.

Prime Factorization of 85051

Prime factors of 85051 are 17, 5003. Prime factorization of 85051 in exponential form is:

85051 = 171 × 50031

Prime Factorization of 85062

Prime factors of 85062 are 2, 3, 14177. Prime factorization of 85062 in exponential form is:

85062 = 21 × 31 × 141771

Now multiplying the highest exponent prime factors to calculate the LCM of 85051 and 85062.

LCM(85051,85062) = 171 × 50031 × 21 × 31 × 141771
LCM(85051,85062) = 7234608162