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What is the Least Common Multiple of 2356 and 2366?

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 2356 and 2366 is 2787148.

LCM(2356,2366) = 2787148

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Least Common Multiple of 2356 and 2366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2356 and 2366, than apply into the LCM equation.

GCF(2356,2366) = 2
LCM(2356,2366) = ( 2356 × 2366) / 2
LCM(2356,2366) = 5574296 / 2
LCM(2356,2366) = 2787148

Least Common Multiple (LCM) of 2356 and 2366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2356 and 2366. First we will calculate the prime factors of 2356 and 2366.

Prime Factorization of 2356

Prime factors of 2356 are 2, 19, 31. Prime factorization of 2356 in exponential form is:

2356 = 22 × 191 × 311

Prime Factorization of 2366

Prime factors of 2366 are 2, 7, 13. Prime factorization of 2366 in exponential form is:

2366 = 21 × 71 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 2356 and 2366.

LCM(2356,2366) = 22 × 191 × 311 × 71 × 132
LCM(2356,2366) = 2787148