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What is the Least Common Multiple of 15656 and 15667?

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 15656 and 15667 is 245282552.

LCM(15656,15667) = 245282552

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Least Common Multiple of 15656 and 15667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15656 and 15667, than apply into the LCM equation.

GCF(15656,15667) = 1
LCM(15656,15667) = ( 15656 × 15667) / 1
LCM(15656,15667) = 245282552 / 1
LCM(15656,15667) = 245282552

Least Common Multiple (LCM) of 15656 and 15667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15656 and 15667. First we will calculate the prime factors of 15656 and 15667.

Prime Factorization of 15656

Prime factors of 15656 are 2, 19, 103. Prime factorization of 15656 in exponential form is:

15656 = 23 × 191 × 1031

Prime Factorization of 15667

Prime factors of 15667 are 15667. Prime factorization of 15667 in exponential form is:

15667 = 156671

Now multiplying the highest exponent prime factors to calculate the LCM of 15656 and 15667.

LCM(15656,15667) = 23 × 191 × 1031 × 156671
LCM(15656,15667) = 245282552