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What is the Least Common Multiple of 16049 and 16061?

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 16049 and 16061 is 257762989.

LCM(16049,16061) = 257762989

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Least Common Multiple of 16049 and 16061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16049 and 16061, than apply into the LCM equation.

GCF(16049,16061) = 1
LCM(16049,16061) = ( 16049 × 16061) / 1
LCM(16049,16061) = 257762989 / 1
LCM(16049,16061) = 257762989

Least Common Multiple (LCM) of 16049 and 16061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16049 and 16061. First we will calculate the prime factors of 16049 and 16061.

Prime Factorization of 16049

Prime factors of 16049 are 11, 1459. Prime factorization of 16049 in exponential form is:

16049 = 111 × 14591

Prime Factorization of 16061

Prime factors of 16061 are 16061. Prime factorization of 16061 in exponential form is:

16061 = 160611

Now multiplying the highest exponent prime factors to calculate the LCM of 16049 and 16061.

LCM(16049,16061) = 111 × 14591 × 160611
LCM(16049,16061) = 257762989