GCF and LCM Calculator Logo

What is the Least Common Multiple of 1245 and 1251?

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 (LCM) of 1245 and 1251 is 519165.

LCM(1245,1251) = 519165

LCM Calculator and
and

Least Common Multiple of 1245 and 1251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1245 and 1251, than apply into the LCM equation.

GCF(1245,1251) = 3
LCM(1245,1251) = ( 1245 × 1251) / 3
LCM(1245,1251) = 1557495 / 3
LCM(1245,1251) = 519165

Least Common Multiple (LCM) of 1245 and 1251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1245 and 1251. First we will calculate the prime factors of 1245 and 1251.

Prime Factorization of 1245

Prime factors of 1245 are 3, 5, 83. Prime factorization of 1245 in exponential form is:

1245 = 31 × 51 × 831

Prime Factorization of 1251

Prime factors of 1251 are 3, 139. Prime factorization of 1251 in exponential form is:

1251 = 32 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1245 and 1251.

LCM(1245,1251) = 32 × 51 × 831 × 1391
LCM(1245,1251) = 519165