What is the Least Common Multiple of 1248 and 1257?

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 1248 and 1257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1248 and 1257, than apply into the LCM equation.

GCF(1248,1257) = 3
LCM(1248,1257) = ( 1248 × 1257) / 3
LCM(1248,1257) = 1568736 / 3
LCM(1248,1257) = 522912

Least Common Multiple (LCM) of 1248 and 1257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1248 and 1257. First we will calculate the prime factors of 1248 and 1257.

Prime Factorization of 1248

Prime Factorization of 1257

Now multiplying the highest exponent prime factors to calculate the LCM of 1248 and 1257.

LCM(1248,1257) = 2⁵ × 3¹ × 13¹ × 419¹
LCM(1248,1257) = 522912