What is the Least Common Multiple of 1239 and 1254?

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 1239 and 1254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1239 and 1254, than apply into the LCM equation.

GCF(1239,1254) = 3
LCM(1239,1254) = ( 1239 × 1254) / 3
LCM(1239,1254) = 1553706 / 3
LCM(1239,1254) = 517902

Least Common Multiple (LCM) of 1239 and 1254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1239 and 1254. First we will calculate the prime factors of 1239 and 1254.

Prime Factorization of 1239

Prime Factorization of 1254

Now multiplying the highest exponent prime factors to calculate the LCM of 1239 and 1254.

LCM(1239,1254) = 3¹ × 7¹ × 59¹ × 2¹ × 11¹ × 19¹
LCM(1239,1254) = 517902