What is the Least Common Multiple of 8760 and 8770?

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 8760 and 8770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8760 and 8770, than apply into the LCM equation.

GCF(8760,8770) = 10
LCM(8760,8770) = ( 8760 × 8770) / 10
LCM(8760,8770) = 76825200 / 10
LCM(8760,8770) = 7682520

Least Common Multiple (LCM) of 8760 and 8770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8770. First we will calculate the prime factors of 8760 and 8770.

Prime Factorization of 8760

Prime Factorization of 8770

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8770.

LCM(8760,8770) = 2³ × 3¹ × 5¹ × 73¹ × 877¹
LCM(8760,8770) = 7682520