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What is the Least Common Multiple of 16685 and 16689?

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 16685 and 16689 is 278455965.

LCM(16685,16689) = 278455965

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Least Common Multiple of 16685 and 16689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16685 and 16689, than apply into the LCM equation.

GCF(16685,16689) = 1
LCM(16685,16689) = ( 16685 × 16689) / 1
LCM(16685,16689) = 278455965 / 1
LCM(16685,16689) = 278455965

Least Common Multiple (LCM) of 16685 and 16689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16685 and 16689. First we will calculate the prime factors of 16685 and 16689.

Prime Factorization of 16685

Prime factors of 16685 are 5, 47, 71. Prime factorization of 16685 in exponential form is:

16685 = 51 × 471 × 711

Prime Factorization of 16689

Prime factors of 16689 are 3, 5563. Prime factorization of 16689 in exponential form is:

16689 = 31 × 55631

Now multiplying the highest exponent prime factors to calculate the LCM of 16685 and 16689.

LCM(16685,16689) = 51 × 471 × 711 × 31 × 55631
LCM(16685,16689) = 278455965