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What is the Least Common Multiple of 2235 and 2246?

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 2235 and 2246 is 5019810.

LCM(2235,2246) = 5019810

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Least Common Multiple of 2235 and 2246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2235 and 2246, than apply into the LCM equation.

GCF(2235,2246) = 1
LCM(2235,2246) = ( 2235 × 2246) / 1
LCM(2235,2246) = 5019810 / 1
LCM(2235,2246) = 5019810

Least Common Multiple (LCM) of 2235 and 2246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2235 and 2246. First we will calculate the prime factors of 2235 and 2246.

Prime Factorization of 2235

Prime factors of 2235 are 3, 5, 149. Prime factorization of 2235 in exponential form is:

2235 = 31 × 51 × 1491

Prime Factorization of 2246

Prime factors of 2246 are 2, 1123. Prime factorization of 2246 in exponential form is:

2246 = 21 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 2235 and 2246.

LCM(2235,2246) = 31 × 51 × 1491 × 21 × 11231
LCM(2235,2246) = 5019810