What is the Least Common Multiple of 14208 and 14219?

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 14219 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 14219, than apply into the LCM equation.

GCF(14208,14219) = 1
LCM(14208,14219) = ( 14208 × 14219) / 1
LCM(14208,14219) = 202023552 / 1
LCM(14208,14219) = 202023552

Least Common Multiple (LCM) of 14208 and 14219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14208 and 14219. First we will calculate the prime factors of 14208 and 14219.

Prime Factorization of 14208

Prime Factorization of 14219

Now multiplying the highest exponent prime factors to calculate the LCM of 14208 and 14219.

LCM(14208,14219) = 2⁷ × 3¹ × 37¹ × 59¹ × 241¹
LCM(14208,14219) = 202023552