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What is the Least Common Multiple of 2117 and 2122?

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 2117 and 2122 is 4492274.

LCM(2117,2122) = 4492274

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Least Common Multiple of 2117 and 2122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2117 and 2122, than apply into the LCM equation.

GCF(2117,2122) = 1
LCM(2117,2122) = ( 2117 × 2122) / 1
LCM(2117,2122) = 4492274 / 1
LCM(2117,2122) = 4492274

Least Common Multiple (LCM) of 2117 and 2122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2117 and 2122. First we will calculate the prime factors of 2117 and 2122.

Prime Factorization of 2117

Prime factors of 2117 are 29, 73. Prime factorization of 2117 in exponential form is:

2117 = 291 × 731

Prime Factorization of 2122

Prime factors of 2122 are 2, 1061. Prime factorization of 2122 in exponential form is:

2122 = 21 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 2117 and 2122.

LCM(2117,2122) = 291 × 731 × 21 × 10611
LCM(2117,2122) = 4492274