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What is the Least Common Multiple of 16442 and 16461?

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 16442 and 16461 is 270651762.

LCM(16442,16461) = 270651762

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Least Common Multiple of 16442 and 16461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16442 and 16461, than apply into the LCM equation.

GCF(16442,16461) = 1
LCM(16442,16461) = ( 16442 × 16461) / 1
LCM(16442,16461) = 270651762 / 1
LCM(16442,16461) = 270651762

Least Common Multiple (LCM) of 16442 and 16461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16442 and 16461. First we will calculate the prime factors of 16442 and 16461.

Prime Factorization of 16442

Prime factors of 16442 are 2, 8221. Prime factorization of 16442 in exponential form is:

16442 = 21 × 82211

Prime Factorization of 16461

Prime factors of 16461 are 3, 31, 59. Prime factorization of 16461 in exponential form is:

16461 = 32 × 311 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 16442 and 16461.

LCM(16442,16461) = 21 × 82211 × 32 × 311 × 591
LCM(16442,16461) = 270651762