What is the Least Common Multiple of 4208 and 4215?

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 4208 and 4215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4208 and 4215, than apply into the LCM equation.

GCF(4208,4215) = 1
LCM(4208,4215) = ( 4208 × 4215) / 1
LCM(4208,4215) = 17736720 / 1
LCM(4208,4215) = 17736720

Least Common Multiple (LCM) of 4208 and 4215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4208 and 4215. First we will calculate the prime factors of 4208 and 4215.

Prime Factorization of 4208

Prime Factorization of 4215

Now multiplying the highest exponent prime factors to calculate the LCM of 4208 and 4215.

LCM(4208,4215) = 2⁴ × 263¹ × 3¹ × 5¹ × 281¹
LCM(4208,4215) = 17736720