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What is the Least Common Multiple of 16035 and 16046?

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 16035 and 16046 is 257297610.

LCM(16035,16046) = 257297610

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Least Common Multiple of 16035 and 16046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16035 and 16046, than apply into the LCM equation.

GCF(16035,16046) = 1
LCM(16035,16046) = ( 16035 × 16046) / 1
LCM(16035,16046) = 257297610 / 1
LCM(16035,16046) = 257297610

Least Common Multiple (LCM) of 16035 and 16046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16035 and 16046. First we will calculate the prime factors of 16035 and 16046.

Prime Factorization of 16035

Prime factors of 16035 are 3, 5, 1069. Prime factorization of 16035 in exponential form is:

16035 = 31 × 51 × 10691

Prime Factorization of 16046

Prime factors of 16046 are 2, 71, 113. Prime factorization of 16046 in exponential form is:

16046 = 21 × 711 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 16035 and 16046.

LCM(16035,16046) = 31 × 51 × 10691 × 21 × 711 × 1131
LCM(16035,16046) = 257297610