What is the Least Common Multiple of 1251 and 1262?

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 1251 and 1262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1251 and 1262, than apply into the LCM equation.

GCF(1251,1262) = 1
LCM(1251,1262) = ( 1251 × 1262) / 1
LCM(1251,1262) = 1578762 / 1
LCM(1251,1262) = 1578762

Least Common Multiple (LCM) of 1251 and 1262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1251 and 1262. First we will calculate the prime factors of 1251 and 1262.

Prime Factorization of 1251

Prime Factorization of 1262

Now multiplying the highest exponent prime factors to calculate the LCM of 1251 and 1262.

LCM(1251,1262) = 3² × 139¹ × 2¹ × 631¹
LCM(1251,1262) = 1578762