What is the Least Common Multiple of 16965 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 16965 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 16965 and 16970, than apply into the LCM equation.

GCF(16965,16970) = 5
LCM(16965,16970) = ( 16965 × 16970) / 5
LCM(16965,16970) = 287896050 / 5
LCM(16965,16970) = 57579210

Least Common Multiple (LCM) of 16965 and 16970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16965 and 16970. First we will calculate the prime factors of 16965 and 16970.

Prime Factorization of 16965

Prime Factorization of 16970

Now multiplying the highest exponent prime factors to calculate the LCM of 16965 and 16970.

LCM(16965,16970) = 3² × 5¹ × 13¹ × 29¹ × 2¹ × 1697¹
LCM(16965,16970) = 57579210