What is the Least Common Multiple of 16614 and 16634?

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 16614 and 16634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16614 and 16634, than apply into the LCM equation.

GCF(16614,16634) = 2
LCM(16614,16634) = ( 16614 × 16634) / 2
LCM(16614,16634) = 276357276 / 2
LCM(16614,16634) = 138178638

Least Common Multiple (LCM) of 16614 and 16634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16614 and 16634. First we will calculate the prime factors of 16614 and 16634.

Prime Factorization of 16614

Prime Factorization of 16634

Now multiplying the highest exponent prime factors to calculate the LCM of 16614 and 16634.

LCM(16614,16634) = 2¹ × 3² × 13¹ × 71¹ × 8317¹
LCM(16614,16634) = 138178638