What is the Least Common Multiple of 8745 and 8760?

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 8745 and 8760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8745 and 8760, than apply into the LCM equation.

GCF(8745,8760) = 15
LCM(8745,8760) = ( 8745 × 8760) / 15
LCM(8745,8760) = 76606200 / 15
LCM(8745,8760) = 5107080

Least Common Multiple (LCM) of 8745 and 8760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8745 and 8760. First we will calculate the prime factors of 8745 and 8760.

Prime Factorization of 8745

Prime Factorization of 8760

Now multiplying the highest exponent prime factors to calculate the LCM of 8745 and 8760.

LCM(8745,8760) = 3¹ × 5¹ × 11¹ × 53¹ × 2³ × 73¹
LCM(8745,8760) = 5107080