What is the Least Common Multiple of 6525 and 6540?

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 6525 and 6540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6525 and 6540, than apply into the LCM equation.

GCF(6525,6540) = 15
LCM(6525,6540) = ( 6525 × 6540) / 15
LCM(6525,6540) = 42673500 / 15
LCM(6525,6540) = 2844900

Least Common Multiple (LCM) of 6525 and 6540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6525 and 6540. First we will calculate the prime factors of 6525 and 6540.

Prime Factorization of 6525

Prime Factorization of 6540

Now multiplying the highest exponent prime factors to calculate the LCM of 6525 and 6540.

LCM(6525,6540) = 3² × 5² × 29¹ × 2² × 109¹
LCM(6525,6540) = 2844900