What is the Least Common Multiple of 16961 and 16969?

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 16961 and 16969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16961 and 16969, than apply into the LCM equation.

GCF(16961,16969) = 1
LCM(16961,16969) = ( 16961 × 16969) / 1
LCM(16961,16969) = 287811209 / 1
LCM(16961,16969) = 287811209

Least Common Multiple (LCM) of 16961 and 16969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16961 and 16969. First we will calculate the prime factors of 16961 and 16969.

Prime Factorization of 16961

Prime Factorization of 16969

Now multiplying the highest exponent prime factors to calculate the LCM of 16961 and 16969.

LCM(16961,16969) = 7¹ × 2423¹ × 71¹ × 239¹
LCM(16961,16969) = 287811209