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What is the Least Common Multiple of 2218 and 2237?

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 2218 and 2237 is 4961666.

LCM(2218,2237) = 4961666

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Least Common Multiple of 2218 and 2237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2218 and 2237, than apply into the LCM equation.

GCF(2218,2237) = 1
LCM(2218,2237) = ( 2218 × 2237) / 1
LCM(2218,2237) = 4961666 / 1
LCM(2218,2237) = 4961666

Least Common Multiple (LCM) of 2218 and 2237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2218 and 2237. First we will calculate the prime factors of 2218 and 2237.

Prime Factorization of 2218

Prime factors of 2218 are 2, 1109. Prime factorization of 2218 in exponential form is:

2218 = 21 × 11091

Prime Factorization of 2237

Prime factors of 2237 are 2237. Prime factorization of 2237 in exponential form is:

2237 = 22371

Now multiplying the highest exponent prime factors to calculate the LCM of 2218 and 2237.

LCM(2218,2237) = 21 × 11091 × 22371
LCM(2218,2237) = 4961666