What is the Least Common Multiple of 6510 and 6528?

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 6510 and 6528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6510 and 6528, than apply into the LCM equation.

GCF(6510,6528) = 6
LCM(6510,6528) = ( 6510 × 6528) / 6
LCM(6510,6528) = 42497280 / 6
LCM(6510,6528) = 7082880

Least Common Multiple (LCM) of 6510 and 6528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6510 and 6528. First we will calculate the prime factors of 6510 and 6528.

Prime Factorization of 6510

Prime Factorization of 6528

Now multiplying the highest exponent prime factors to calculate the LCM of 6510 and 6528.

LCM(6510,6528) = 2⁷ × 3¹ × 5¹ × 7¹ × 31¹ × 17¹
LCM(6510,6528) = 7082880