What is the Least Common Multiple of 16892 and 16907?

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 of 16892 and 16907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16892 and 16907, than apply into the LCM equation.

GCF(16892,16907) = 1
LCM(16892,16907) = ( 16892 × 16907) / 1
LCM(16892,16907) = 285593044 / 1
LCM(16892,16907) = 285593044

Least Common Multiple (LCM) of 16892 and 16907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16892 and 16907. First we will calculate the prime factors of 16892 and 16907.

Prime Factorization of 16892

Prime Factorization of 16907

Now multiplying the highest exponent prime factors to calculate the LCM of 16892 and 16907.

LCM(16892,16907) = 2² × 41¹ × 103¹ × 11¹ × 29¹ × 53¹
LCM(16892,16907) = 285593044