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What is the Least Common Multiple of 16316 and 16325?

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 16316 and 16325 is 266358700.

LCM(16316,16325) = 266358700

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Least Common Multiple of 16316 and 16325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16316 and 16325, than apply into the LCM equation.

GCF(16316,16325) = 1
LCM(16316,16325) = ( 16316 × 16325) / 1
LCM(16316,16325) = 266358700 / 1
LCM(16316,16325) = 266358700

Least Common Multiple (LCM) of 16316 and 16325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16316 and 16325. First we will calculate the prime factors of 16316 and 16325.

Prime Factorization of 16316

Prime factors of 16316 are 2, 4079. Prime factorization of 16316 in exponential form is:

16316 = 22 × 40791

Prime Factorization of 16325

Prime factors of 16325 are 5, 653. Prime factorization of 16325 in exponential form is:

16325 = 52 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 16316 and 16325.

LCM(16316,16325) = 22 × 40791 × 52 × 6531
LCM(16316,16325) = 266358700