What is the Least Common Multiple of 6525 and 6545?

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 6545 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 6545, than apply into the LCM equation.

GCF(6525,6545) = 5
LCM(6525,6545) = ( 6525 × 6545) / 5
LCM(6525,6545) = 42706125 / 5
LCM(6525,6545) = 8541225

Least Common Multiple (LCM) of 6525 and 6545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6525 and 6545. First we will calculate the prime factors of 6525 and 6545.

Prime Factorization of 6525

Prime Factorization of 6545

Now multiplying the highest exponent prime factors to calculate the LCM of 6525 and 6545.

LCM(6525,6545) = 3² × 5² × 29¹ × 7¹ × 11¹ × 17¹
LCM(6525,6545) = 8541225