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What is the Least Common Multiple of 4156 and 4168?

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 4156 and 4168 is 4330552.

LCM(4156,4168) = 4330552

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Least Common Multiple of 4156 and 4168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4156 and 4168, than apply into the LCM equation.

GCF(4156,4168) = 4
LCM(4156,4168) = ( 4156 × 4168) / 4
LCM(4156,4168) = 17322208 / 4
LCM(4156,4168) = 4330552

Least Common Multiple (LCM) of 4156 and 4168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4156 and 4168. First we will calculate the prime factors of 4156 and 4168.

Prime Factorization of 4156

Prime factors of 4156 are 2, 1039. Prime factorization of 4156 in exponential form is:

4156 = 22 × 10391

Prime Factorization of 4168

Prime factors of 4168 are 2, 521. Prime factorization of 4168 in exponential form is:

4168 = 23 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 4156 and 4168.

LCM(4156,4168) = 23 × 10391 × 5211
LCM(4156,4168) = 4330552