What is the Least Common Multiple of 6552 and 6565?

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 6552 and 6565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6552 and 6565, than apply into the LCM equation.

GCF(6552,6565) = 13
LCM(6552,6565) = ( 6552 × 6565) / 13
LCM(6552,6565) = 43013880 / 13
LCM(6552,6565) = 3308760

Least Common Multiple (LCM) of 6552 and 6565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6552 and 6565. First we will calculate the prime factors of 6552 and 6565.

Prime Factorization of 6552

Prime Factorization of 6565

Now multiplying the highest exponent prime factors to calculate the LCM of 6552 and 6565.

LCM(6552,6565) = 2³ × 3² × 7¹ × 13¹ × 5¹ × 101¹
LCM(6552,6565) = 3308760