What is the Least Common Multiple of 1204 and 1211?

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 1204 and 1211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1204 and 1211, than apply into the LCM equation.

GCF(1204,1211) = 7
LCM(1204,1211) = ( 1204 × 1211) / 7
LCM(1204,1211) = 1458044 / 7
LCM(1204,1211) = 208292

Least Common Multiple (LCM) of 1204 and 1211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1204 and 1211. First we will calculate the prime factors of 1204 and 1211.

Prime Factorization of 1204

Prime Factorization of 1211

Now multiplying the highest exponent prime factors to calculate the LCM of 1204 and 1211.

LCM(1204,1211) = 2² × 7¹ × 43¹ × 173¹
LCM(1204,1211) = 208292