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What is the Least Common Multiple of 7152 and 7161?

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 7152 and 7161 is 17071824.

LCM(7152,7161) = 17071824

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Least Common Multiple of 7152 and 7161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7152 and 7161, than apply into the LCM equation.

GCF(7152,7161) = 3
LCM(7152,7161) = ( 7152 × 7161) / 3
LCM(7152,7161) = 51215472 / 3
LCM(7152,7161) = 17071824

Least Common Multiple (LCM) of 7152 and 7161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7152 and 7161. First we will calculate the prime factors of 7152 and 7161.

Prime Factorization of 7152

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

7152 = 24 × 31 × 1491

Prime Factorization of 7161

Prime factors of 7161 are 3, 7, 11, 31. Prime factorization of 7161 in exponential form is:

7161 = 31 × 71 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7152 and 7161.

LCM(7152,7161) = 24 × 31 × 1491 × 71 × 111 × 311
LCM(7152,7161) = 17071824