What is the Least Common Multiple of 12540 and 12553?

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 12540 and 12553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12540 and 12553, than apply into the LCM equation.

GCF(12540,12553) = 1
LCM(12540,12553) = ( 12540 × 12553) / 1
LCM(12540,12553) = 157414620 / 1
LCM(12540,12553) = 157414620

Least Common Multiple (LCM) of 12540 and 12553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12540 and 12553. First we will calculate the prime factors of 12540 and 12553.

Prime Factorization of 12540

Prime Factorization of 12553

Now multiplying the highest exponent prime factors to calculate the LCM of 12540 and 12553.

LCM(12540,12553) = 2² × 3¹ × 5¹ × 11¹ × 19¹ × 12553¹
LCM(12540,12553) = 157414620