What is the Least Common Multiple of 10514 and 10530?

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 10514 and 10530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10514 and 10530, than apply into the LCM equation.

GCF(10514,10530) = 2
LCM(10514,10530) = ( 10514 × 10530) / 2
LCM(10514,10530) = 110712420 / 2
LCM(10514,10530) = 55356210

Least Common Multiple (LCM) of 10514 and 10530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10514 and 10530. First we will calculate the prime factors of 10514 and 10530.

Prime Factorization of 10514

Prime Factorization of 10530

Now multiplying the highest exponent prime factors to calculate the LCM of 10514 and 10530.

LCM(10514,10530) = 2¹ × 7¹ × 751¹ × 3⁴ × 5¹ × 13¹
LCM(10514,10530) = 55356210