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What is the Least Common Multiple of 2091 and 2102?

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 2091 and 2102 is 4395282.

LCM(2091,2102) = 4395282

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Least Common Multiple of 2091 and 2102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2091 and 2102, than apply into the LCM equation.

GCF(2091,2102) = 1
LCM(2091,2102) = ( 2091 × 2102) / 1
LCM(2091,2102) = 4395282 / 1
LCM(2091,2102) = 4395282

Least Common Multiple (LCM) of 2091 and 2102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2091 and 2102. First we will calculate the prime factors of 2091 and 2102.

Prime Factorization of 2091

Prime factors of 2091 are 3, 17, 41. Prime factorization of 2091 in exponential form is:

2091 = 31 × 171 × 411

Prime Factorization of 2102

Prime factors of 2102 are 2, 1051. Prime factorization of 2102 in exponential form is:

2102 = 21 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 2091 and 2102.

LCM(2091,2102) = 31 × 171 × 411 × 21 × 10511
LCM(2091,2102) = 4395282