What is the Least Common Multiple of 16956 and 16971?

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 16956 and 16971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16956 and 16971, than apply into the LCM equation.

GCF(16956,16971) = 3
LCM(16956,16971) = ( 16956 × 16971) / 3
LCM(16956,16971) = 287760276 / 3
LCM(16956,16971) = 95920092

Least Common Multiple (LCM) of 16956 and 16971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16956 and 16971. First we will calculate the prime factors of 16956 and 16971.

Prime Factorization of 16956

Prime Factorization of 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 16956 and 16971.

LCM(16956,16971) = 2² × 3³ × 157¹ × 5657¹
LCM(16956,16971) = 95920092