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What is the Least Common Multiple of 15809 and 15818?

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 15809 and 15818 is 250066762.

LCM(15809,15818) = 250066762

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Least Common Multiple of 15809 and 15818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15809 and 15818, than apply into the LCM equation.

GCF(15809,15818) = 1
LCM(15809,15818) = ( 15809 × 15818) / 1
LCM(15809,15818) = 250066762 / 1
LCM(15809,15818) = 250066762

Least Common Multiple (LCM) of 15809 and 15818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15809 and 15818. First we will calculate the prime factors of 15809 and 15818.

Prime Factorization of 15809

Prime factors of 15809 are 15809. Prime factorization of 15809 in exponential form is:

15809 = 158091

Prime Factorization of 15818

Prime factors of 15818 are 2, 11, 719. Prime factorization of 15818 in exponential form is:

15818 = 21 × 111 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 15809 and 15818.

LCM(15809,15818) = 158091 × 21 × 111 × 7191
LCM(15809,15818) = 250066762