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What is the Least Common Multiple of 4135 and 4152?

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 4135 and 4152 is 17168520.

LCM(4135,4152) = 17168520

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Least Common Multiple of 4135 and 4152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4135 and 4152, than apply into the LCM equation.

GCF(4135,4152) = 1
LCM(4135,4152) = ( 4135 × 4152) / 1
LCM(4135,4152) = 17168520 / 1
LCM(4135,4152) = 17168520

Least Common Multiple (LCM) of 4135 and 4152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4135 and 4152. First we will calculate the prime factors of 4135 and 4152.

Prime Factorization of 4135

Prime factors of 4135 are 5, 827. Prime factorization of 4135 in exponential form is:

4135 = 51 × 8271

Prime Factorization of 4152

Prime factors of 4152 are 2, 3, 173. Prime factorization of 4152 in exponential form is:

4152 = 23 × 31 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 4135 and 4152.

LCM(4135,4152) = 51 × 8271 × 23 × 31 × 1731
LCM(4135,4152) = 17168520