What is the Least Common Multiple of 7565 and 7571?

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 7565 and 7571 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7565 and 7571, than apply into the LCM equation.

GCF(7565,7571) = 1
LCM(7565,7571) = ( 7565 × 7571) / 1
LCM(7565,7571) = 57274615 / 1
LCM(7565,7571) = 57274615

Least Common Multiple (LCM) of 7565 and 7571 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7565 and 7571. First we will calculate the prime factors of 7565 and 7571.

Prime Factorization of 7565

Prime Factorization of 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 7565 and 7571.

LCM(7565,7571) = 5¹ × 17¹ × 89¹ × 67¹ × 113¹
LCM(7565,7571) = 57274615