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What is the Least Common Multiple of 2171 and 2177?

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 2171 and 2177 is 4726267.

LCM(2171,2177) = 4726267

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Least Common Multiple of 2171 and 2177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2171 and 2177, than apply into the LCM equation.

GCF(2171,2177) = 1
LCM(2171,2177) = ( 2171 × 2177) / 1
LCM(2171,2177) = 4726267 / 1
LCM(2171,2177) = 4726267

Least Common Multiple (LCM) of 2171 and 2177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2171 and 2177. First we will calculate the prime factors of 2171 and 2177.

Prime Factorization of 2171

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

2171 = 131 × 1671

Prime Factorization of 2177

Prime factors of 2177 are 7, 311. Prime factorization of 2177 in exponential form is:

2177 = 71 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 2171 and 2177.

LCM(2171,2177) = 131 × 1671 × 71 × 3111
LCM(2171,2177) = 4726267