What is the Least Common Multiple of 1238 and 1258?

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 1238 and 1258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1238 and 1258, than apply into the LCM equation.

GCF(1238,1258) = 2
LCM(1238,1258) = ( 1238 × 1258) / 2
LCM(1238,1258) = 1557404 / 2
LCM(1238,1258) = 778702

Least Common Multiple (LCM) of 1238 and 1258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1238 and 1258. First we will calculate the prime factors of 1238 and 1258.

Prime Factorization of 1238

Prime Factorization of 1258

Now multiplying the highest exponent prime factors to calculate the LCM of 1238 and 1258.

LCM(1238,1258) = 2¹ × 619¹ × 17¹ × 37¹
LCM(1238,1258) = 778702