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What is the Least Common Multiple of 4143 and 4156?

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 4143 and 4156 is 17218308.

LCM(4143,4156) = 17218308

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Least Common Multiple of 4143 and 4156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4143 and 4156, than apply into the LCM equation.

GCF(4143,4156) = 1
LCM(4143,4156) = ( 4143 × 4156) / 1
LCM(4143,4156) = 17218308 / 1
LCM(4143,4156) = 17218308

Least Common Multiple (LCM) of 4143 and 4156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4143 and 4156. First we will calculate the prime factors of 4143 and 4156.

Prime Factorization of 4143

Prime factors of 4143 are 3, 1381. Prime factorization of 4143 in exponential form is:

4143 = 31 × 13811

Prime Factorization of 4156

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

4156 = 22 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 4143 and 4156.

LCM(4143,4156) = 31 × 13811 × 22 × 10391
LCM(4143,4156) = 17218308