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What is the Least Common Multiple of 16067 and 16085?

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 16067 and 16085 is 258437695.

LCM(16067,16085) = 258437695

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Least Common Multiple of 16067 and 16085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16067 and 16085, than apply into the LCM equation.

GCF(16067,16085) = 1
LCM(16067,16085) = ( 16067 × 16085) / 1
LCM(16067,16085) = 258437695 / 1
LCM(16067,16085) = 258437695

Least Common Multiple (LCM) of 16067 and 16085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16067 and 16085. First we will calculate the prime factors of 16067 and 16085.

Prime Factorization of 16067

Prime factors of 16067 are 16067. Prime factorization of 16067 in exponential form is:

16067 = 160671

Prime Factorization of 16085

Prime factors of 16085 are 5, 3217. Prime factorization of 16085 in exponential form is:

16085 = 51 × 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 16067 and 16085.

LCM(16067,16085) = 160671 × 51 × 32171
LCM(16067,16085) = 258437695