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What is the Least Common Multiple of 2162 and 2171?

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 2162 and 2171 is 4693702.

LCM(2162,2171) = 4693702

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Least Common Multiple of 2162 and 2171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2162 and 2171, than apply into the LCM equation.

GCF(2162,2171) = 1
LCM(2162,2171) = ( 2162 × 2171) / 1
LCM(2162,2171) = 4693702 / 1
LCM(2162,2171) = 4693702

Least Common Multiple (LCM) of 2162 and 2171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2162 and 2171. First we will calculate the prime factors of 2162 and 2171.

Prime Factorization of 2162

Prime factors of 2162 are 2, 23, 47. Prime factorization of 2162 in exponential form is:

2162 = 21 × 231 × 471

Prime Factorization of 2171

Prime factors of 2171 are 13, 167. Prime factorization of 2171 in exponential form is:

2171 = 131 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2162 and 2171.

LCM(2162,2171) = 21 × 231 × 471 × 131 × 1671
LCM(2162,2171) = 4693702