What is the Least Common Multiple of 10530 and 10545?

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 10545 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 10545, than apply into the LCM equation.

GCF(10530,10545) = 15
LCM(10530,10545) = ( 10530 × 10545) / 15
LCM(10530,10545) = 111038850 / 15
LCM(10530,10545) = 7402590

Least Common Multiple (LCM) of 10530 and 10545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10530 and 10545. First we will calculate the prime factors of 10530 and 10545.

Prime Factorization of 10530

Prime Factorization of 10545

Now multiplying the highest exponent prime factors to calculate the LCM of 10530 and 10545.

LCM(10530,10545) = 2¹ × 3⁴ × 5¹ × 13¹ × 19¹ × 37¹
LCM(10530,10545) = 7402590