What is the Least Common Multiple of 10530 and 10549?

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 10530 and 10549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10530 and 10549, than apply into the LCM equation.

GCF(10530,10549) = 1
LCM(10530,10549) = ( 10530 × 10549) / 1
LCM(10530,10549) = 111080970 / 1
LCM(10530,10549) = 111080970

Least Common Multiple (LCM) of 10530 and 10549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10530 and 10549. First we will calculate the prime factors of 10530 and 10549.

Prime Factorization of 10530

Prime Factorization of 10549

Now multiplying the highest exponent prime factors to calculate the LCM of 10530 and 10549.

LCM(10530,10549) = 2¹ × 3⁴ × 5¹ × 13¹ × 7¹ × 11¹ × 137¹
LCM(10530,10549) = 111080970