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What is the Least Common Multiple of 15649 and 15666?

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 15649 and 15666 is 245157234.

LCM(15649,15666) = 245157234

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Least Common Multiple of 15649 and 15666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15649 and 15666, than apply into the LCM equation.

GCF(15649,15666) = 1
LCM(15649,15666) = ( 15649 × 15666) / 1
LCM(15649,15666) = 245157234 / 1
LCM(15649,15666) = 245157234

Least Common Multiple (LCM) of 15649 and 15666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15649 and 15666. First we will calculate the prime factors of 15649 and 15666.

Prime Factorization of 15649

Prime factors of 15649 are 15649. Prime factorization of 15649 in exponential form is:

15649 = 156491

Prime Factorization of 15666

Prime factors of 15666 are 2, 3, 7, 373. Prime factorization of 15666 in exponential form is:

15666 = 21 × 31 × 71 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 15649 and 15666.

LCM(15649,15666) = 156491 × 21 × 31 × 71 × 3731
LCM(15649,15666) = 245157234