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What is the Least Common Multiple of 16069 and 16080?

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 16069 and 16080 is 258389520.

LCM(16069,16080) = 258389520

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Least Common Multiple of 16069 and 16080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16069 and 16080, than apply into the LCM equation.

GCF(16069,16080) = 1
LCM(16069,16080) = ( 16069 × 16080) / 1
LCM(16069,16080) = 258389520 / 1
LCM(16069,16080) = 258389520

Least Common Multiple (LCM) of 16069 and 16080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16069 and 16080. First we will calculate the prime factors of 16069 and 16080.

Prime Factorization of 16069

Prime factors of 16069 are 16069. Prime factorization of 16069 in exponential form is:

16069 = 160691

Prime Factorization of 16080

Prime factors of 16080 are 2, 3, 5, 67. Prime factorization of 16080 in exponential form is:

16080 = 24 × 31 × 51 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 16069 and 16080.

LCM(16069,16080) = 160691 × 24 × 31 × 51 × 671
LCM(16069,16080) = 258389520