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What is the Least Common Multiple of 16807 and 16820?

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 16807 and 16820 is 282693740.

LCM(16807,16820) = 282693740

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Least Common Multiple of 16807 and 16820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16807 and 16820, than apply into the LCM equation.

GCF(16807,16820) = 1
LCM(16807,16820) = ( 16807 × 16820) / 1
LCM(16807,16820) = 282693740 / 1
LCM(16807,16820) = 282693740

Least Common Multiple (LCM) of 16807 and 16820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16807 and 16820. First we will calculate the prime factors of 16807 and 16820.

Prime Factorization of 16807

Prime factors of 16807 are 7. Prime factorization of 16807 in exponential form is:

16807 = 75

Prime Factorization of 16820

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

16820 = 22 × 51 × 292

Now multiplying the highest exponent prime factors to calculate the LCM of 16807 and 16820.

LCM(16807,16820) = 75 × 22 × 51 × 292
LCM(16807,16820) = 282693740