What is the Least Common Multiple of 8760 and 8776?

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 8776 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 8776, than apply into the LCM equation.

GCF(8760,8776) = 8
LCM(8760,8776) = ( 8760 × 8776) / 8
LCM(8760,8776) = 76877760 / 8
LCM(8760,8776) = 9609720

Least Common Multiple (LCM) of 8760 and 8776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8776. First we will calculate the prime factors of 8760 and 8776.

Prime Factorization of 8760

Prime Factorization of 8776

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8776.

LCM(8760,8776) = 2³ × 3¹ × 5¹ × 73¹ × 1097¹
LCM(8760,8776) = 9609720