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What is the Least Common Multiple of 15832 and 15842?

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 15842 is 125405272.

LCM(15832,15842) = 125405272

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Least Common Multiple of 15832 and 15842 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 15842, than apply into the LCM equation.

GCF(15832,15842) = 2
LCM(15832,15842) = ( 15832 × 15842) / 2
LCM(15832,15842) = 250810544 / 2
LCM(15832,15842) = 125405272

Least Common Multiple (LCM) of 15832 and 15842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15832 and 15842. First we will calculate the prime factors of 15832 and 15842.

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 15842

Prime factors of 15842 are 2, 89. Prime factorization of 15842 in exponential form is:

15842 = 21 × 892

Now multiplying the highest exponent prime factors to calculate the LCM of 15832 and 15842.

LCM(15832,15842) = 23 × 19791 × 892
LCM(15832,15842) = 125405272