What is the Least Common Multiple of 16954 and 16970?

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 16954 and 16970 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 16970, than apply into the LCM equation.

GCF(16954,16970) = 2
LCM(16954,16970) = ( 16954 × 16970) / 2
LCM(16954,16970) = 287709380 / 2
LCM(16954,16970) = 143854690

Least Common Multiple (LCM) of 16954 and 16970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16954 and 16970. First we will calculate the prime factors of 16954 and 16970.

Prime Factorization of 16954

Prime Factorization of 16970

Now multiplying the highest exponent prime factors to calculate the LCM of 16954 and 16970.

LCM(16954,16970) = 2¹ × 7² × 173¹ × 5¹ × 1697¹
LCM(16954,16970) = 143854690