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What is the Least Common Multiple of 15832 and 15852?

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 15832 and 15852 is 62742216.

LCM(15832,15852) = 62742216

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Least Common Multiple of 15832 and 15852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15832 and 15852, than apply into the LCM equation.

GCF(15832,15852) = 4
LCM(15832,15852) = ( 15832 × 15852) / 4
LCM(15832,15852) = 250968864 / 4
LCM(15832,15852) = 62742216

Least Common Multiple (LCM) of 15832 and 15852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15832 and 15852. First we will calculate the prime factors of 15832 and 15852.

Prime Factorization of 15832

Prime factors of 15832 are 2, 1979. Prime factorization of 15832 in exponential form is:

15832 = 23 × 19791

Prime Factorization of 15852

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

15852 = 22 × 31 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 15832 and 15852.

LCM(15832,15852) = 23 × 19791 × 31 × 13211
LCM(15832,15852) = 62742216