What is the Least Common Multiple of 14208 and 14223?

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 14208 and 14223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14208 and 14223, than apply into the LCM equation.

GCF(14208,14223) = 3
LCM(14208,14223) = ( 14208 × 14223) / 3
LCM(14208,14223) = 202080384 / 3
LCM(14208,14223) = 67360128

Least Common Multiple (LCM) of 14208 and 14223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14208 and 14223. First we will calculate the prime factors of 14208 and 14223.

Prime Factorization of 14208

Prime Factorization of 14223

Now multiplying the highest exponent prime factors to calculate the LCM of 14208 and 14223.

LCM(14208,14223) = 2⁷ × 3¹ × 37¹ × 11¹ × 431¹
LCM(14208,14223) = 67360128