What is the Least Common Multiple of 1230 and 1241?

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 1230 and 1241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1230 and 1241, than apply into the LCM equation.

GCF(1230,1241) = 1
LCM(1230,1241) = ( 1230 × 1241) / 1
LCM(1230,1241) = 1526430 / 1
LCM(1230,1241) = 1526430

Least Common Multiple (LCM) of 1230 and 1241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1230 and 1241. First we will calculate the prime factors of 1230 and 1241.

Prime Factorization of 1230

Prime Factorization of 1241

Now multiplying the highest exponent prime factors to calculate the LCM of 1230 and 1241.

LCM(1230,1241) = 2¹ × 3¹ × 5¹ × 41¹ × 17¹ × 73¹
LCM(1230,1241) = 1526430