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What is the Least Common Multiple of 7143 and 7152?

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 7143 and 7152 is 17028912.

LCM(7143,7152) = 17028912

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Least Common Multiple of 7143 and 7152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7143 and 7152, than apply into the LCM equation.

GCF(7143,7152) = 3
LCM(7143,7152) = ( 7143 × 7152) / 3
LCM(7143,7152) = 51086736 / 3
LCM(7143,7152) = 17028912

Least Common Multiple (LCM) of 7143 and 7152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7143 and 7152. First we will calculate the prime factors of 7143 and 7152.

Prime Factorization of 7143

Prime factors of 7143 are 3, 2381. Prime factorization of 7143 in exponential form is:

7143 = 31 × 23811

Prime Factorization of 7152

Prime factors of 7152 are 2, 3, 149. Prime factorization of 7152 in exponential form is:

7152 = 24 × 31 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 7143 and 7152.

LCM(7143,7152) = 31 × 23811 × 24 × 1491
LCM(7143,7152) = 17028912