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What is the Least Common Multiple of 16820 and 16827?

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 16820 and 16827 is 283030140.

LCM(16820,16827) = 283030140

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Least Common Multiple of 16820 and 16827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16820 and 16827, than apply into the LCM equation.

GCF(16820,16827) = 1
LCM(16820,16827) = ( 16820 × 16827) / 1
LCM(16820,16827) = 283030140 / 1
LCM(16820,16827) = 283030140

Least Common Multiple (LCM) of 16820 and 16827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16820 and 16827. First we will calculate the prime factors of 16820 and 16827.

Prime Factorization of 16820

Prime factors of 16820 are 2, 5, 29. Prime factorization of 16820 in exponential form is:

16820 = 22 × 51 × 292

Prime Factorization of 16827

Prime factors of 16827 are 3, 71, 79. Prime factorization of 16827 in exponential form is:

16827 = 31 × 711 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 16820 and 16827.

LCM(16820,16827) = 22 × 51 × 292 × 31 × 711 × 791
LCM(16820,16827) = 283030140