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What is the Least Common Multiple of 88211 and 88227?

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 88211 and 88227 is 7782591897.

LCM(88211,88227) = 7782591897

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Least Common Multiple of 88211 and 88227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88211 and 88227, than apply into the LCM equation.

GCF(88211,88227) = 1
LCM(88211,88227) = ( 88211 × 88227) / 1
LCM(88211,88227) = 7782591897 / 1
LCM(88211,88227) = 7782591897

Least Common Multiple (LCM) of 88211 and 88227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88211 and 88227. First we will calculate the prime factors of 88211 and 88227.

Prime Factorization of 88211

Prime factors of 88211 are 88211. Prime factorization of 88211 in exponential form is:

88211 = 882111

Prime Factorization of 88227

Prime factors of 88227 are 3, 9803. Prime factorization of 88227 in exponential form is:

88227 = 32 × 98031

Now multiplying the highest exponent prime factors to calculate the LCM of 88211 and 88227.

LCM(88211,88227) = 882111 × 32 × 98031
LCM(88211,88227) = 7782591897