What is the Least Common Multiple of 1208 and 1217?

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 1208 and 1217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1208 and 1217, than apply into the LCM equation.

GCF(1208,1217) = 1
LCM(1208,1217) = ( 1208 × 1217) / 1
LCM(1208,1217) = 1470136 / 1
LCM(1208,1217) = 1470136

Least Common Multiple (LCM) of 1208 and 1217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1208 and 1217. First we will calculate the prime factors of 1208 and 1217.

Prime Factorization of 1208

Prime Factorization of 1217

Now multiplying the highest exponent prime factors to calculate the LCM of 1208 and 1217.

LCM(1208,1217) = 2³ × 151¹ × 1217¹
LCM(1208,1217) = 1470136