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What is the Least Common Multiple of 15852 and 15868?

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 15852 and 15868 is 62884884.

LCM(15852,15868) = 62884884

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Least Common Multiple of 15852 and 15868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15852 and 15868, than apply into the LCM equation.

GCF(15852,15868) = 4
LCM(15852,15868) = ( 15852 × 15868) / 4
LCM(15852,15868) = 251539536 / 4
LCM(15852,15868) = 62884884

Least Common Multiple (LCM) of 15852 and 15868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15852 and 15868. First we will calculate the prime factors of 15852 and 15868.

Prime Factorization of 15852

Prime factors of 15852 are 2, 3, 1321. Prime factorization of 15852 in exponential form is:

15852 = 22 × 31 × 13211

Prime Factorization of 15868

Prime factors of 15868 are 2, 3967. Prime factorization of 15868 in exponential form is:

15868 = 22 × 39671

Now multiplying the highest exponent prime factors to calculate the LCM of 15852 and 15868.

LCM(15852,15868) = 22 × 31 × 13211 × 39671
LCM(15852,15868) = 62884884