What is the Least Common Multiple of 16716 and 16732?

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 16716 and 16732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16716 and 16732, than apply into the LCM equation.

GCF(16716,16732) = 4
LCM(16716,16732) = ( 16716 × 16732) / 4
LCM(16716,16732) = 279692112 / 4
LCM(16716,16732) = 69923028

Least Common Multiple (LCM) of 16716 and 16732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16716 and 16732. First we will calculate the prime factors of 16716 and 16732.

Prime Factorization of 16716

Prime Factorization of 16732

Now multiplying the highest exponent prime factors to calculate the LCM of 16716 and 16732.

LCM(16716,16732) = 2² × 3¹ × 7¹ × 199¹ × 47¹ × 89¹
LCM(16716,16732) = 69923028