GCF and LCM Calculator Logo

What is the Least Common Multiple of 16962 and 16982?

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 16962 and 16982 is 144024342.

LCM(16962,16982) = 144024342

LCM Calculator and
and

Least Common Multiple of 16962 and 16982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16962 and 16982, than apply into the LCM equation.

GCF(16962,16982) = 2
LCM(16962,16982) = ( 16962 × 16982) / 2
LCM(16962,16982) = 288048684 / 2
LCM(16962,16982) = 144024342

Least Common Multiple (LCM) of 16962 and 16982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16962 and 16982. First we will calculate the prime factors of 16962 and 16982.

Prime Factorization of 16962

Prime factors of 16962 are 2, 3, 11, 257. Prime factorization of 16962 in exponential form is:

16962 = 21 × 31 × 111 × 2571

Prime Factorization of 16982

Prime factors of 16982 are 2, 7, 1213. Prime factorization of 16982 in exponential form is:

16982 = 21 × 71 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 16962 and 16982.

LCM(16962,16982) = 21 × 31 × 111 × 2571 × 71 × 12131
LCM(16962,16982) = 144024342