What is the Least Common Multiple of 16614 and 16627?

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 16627 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 16627, than apply into the LCM equation.

GCF(16614,16627) = 13
LCM(16614,16627) = ( 16614 × 16627) / 13
LCM(16614,16627) = 276240978 / 13
LCM(16614,16627) = 21249306

Least Common Multiple (LCM) of 16614 and 16627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16614 and 16627. First we will calculate the prime factors of 16614 and 16627.

Prime Factorization of 16614

Prime Factorization of 16627

Now multiplying the highest exponent prime factors to calculate the LCM of 16614 and 16627.

LCM(16614,16627) = 2¹ × 3² × 13¹ × 71¹ × 1279¹
LCM(16614,16627) = 21249306