What is the Least Common Multiple of 14189 and 14208?

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 14189 and 14208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14189 and 14208, than apply into the LCM equation.

GCF(14189,14208) = 1
LCM(14189,14208) = ( 14189 × 14208) / 1
LCM(14189,14208) = 201597312 / 1
LCM(14189,14208) = 201597312

Least Common Multiple (LCM) of 14189 and 14208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14189 and 14208. First we will calculate the prime factors of 14189 and 14208.

Prime Factorization of 14189

Prime Factorization of 14208

Now multiplying the highest exponent prime factors to calculate the LCM of 14189 and 14208.

LCM(14189,14208) = 7¹ × 2027¹ × 2⁷ × 3¹ × 37¹
LCM(14189,14208) = 201597312