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What is the Least Common Multiple of 47011 and 47021?

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 47011 and 47021 is 2210504231.

LCM(47011,47021) = 2210504231

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Least Common Multiple of 47011 and 47021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47011 and 47021, than apply into the LCM equation.

GCF(47011,47021) = 1
LCM(47011,47021) = ( 47011 × 47021) / 1
LCM(47011,47021) = 2210504231 / 1
LCM(47011,47021) = 2210504231

Least Common Multiple (LCM) of 47011 and 47021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47011 and 47021. First we will calculate the prime factors of 47011 and 47021.

Prime Factorization of 47011

Prime factors of 47011 are 53, 887. Prime factorization of 47011 in exponential form is:

47011 = 531 × 8871

Prime Factorization of 47021

Prime factors of 47021 are 13, 3617. Prime factorization of 47021 in exponential form is:

47021 = 131 × 36171

Now multiplying the highest exponent prime factors to calculate the LCM of 47011 and 47021.

LCM(47011,47021) = 531 × 8871 × 131 × 36171
LCM(47011,47021) = 2210504231