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What is the Least Common Multiple of 2141 and 2150?

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 2141 and 2150 is 4603150.

LCM(2141,2150) = 4603150

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Least Common Multiple of 2141 and 2150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2141 and 2150, than apply into the LCM equation.

GCF(2141,2150) = 1
LCM(2141,2150) = ( 2141 × 2150) / 1
LCM(2141,2150) = 4603150 / 1
LCM(2141,2150) = 4603150

Least Common Multiple (LCM) of 2141 and 2150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2141 and 2150. First we will calculate the prime factors of 2141 and 2150.

Prime Factorization of 2141

Prime factors of 2141 are 2141. Prime factorization of 2141 in exponential form is:

2141 = 21411

Prime Factorization of 2150

Prime factors of 2150 are 2, 5, 43. Prime factorization of 2150 in exponential form is:

2150 = 21 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2141 and 2150.

LCM(2141,2150) = 21411 × 21 × 52 × 431
LCM(2141,2150) = 4603150