GCF and LCM Calculator Logo

What is the Least Common Multiple of 16954 and 16965?

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 16954 and 16965 is 287624610.

LCM(16954,16965) = 287624610

LCM Calculator and
and

Least Common Multiple of 16954 and 16965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16954 and 16965, than apply into the LCM equation.

GCF(16954,16965) = 1
LCM(16954,16965) = ( 16954 × 16965) / 1
LCM(16954,16965) = 287624610 / 1
LCM(16954,16965) = 287624610

Least Common Multiple (LCM) of 16954 and 16965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16954 and 16965. First we will calculate the prime factors of 16954 and 16965.

Prime Factorization of 16954

Prime factors of 16954 are 2, 7, 173. Prime factorization of 16954 in exponential form is:

16954 = 21 × 72 × 1731

Prime Factorization of 16965

Prime factors of 16965 are 3, 5, 13, 29. Prime factorization of 16965 in exponential form is:

16965 = 32 × 51 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 16954 and 16965.

LCM(16954,16965) = 21 × 72 × 1731 × 32 × 51 × 131 × 291
LCM(16954,16965) = 287624610