What is the Least Common Multiple of 8760 and 8769?

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 8769 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 8769, than apply into the LCM equation.

GCF(8760,8769) = 3
LCM(8760,8769) = ( 8760 × 8769) / 3
LCM(8760,8769) = 76816440 / 3
LCM(8760,8769) = 25605480

Least Common Multiple (LCM) of 8760 and 8769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8760 and 8769. First we will calculate the prime factors of 8760 and 8769.

Prime Factorization of 8760

Prime Factorization of 8769

Now multiplying the highest exponent prime factors to calculate the LCM of 8760 and 8769.

LCM(8760,8769) = 2³ × 3¹ × 5¹ × 73¹ × 37¹ × 79¹
LCM(8760,8769) = 25605480