What is the Least Common Multiple of 88860 and 88866?

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 88860 and 88866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88860 and 88866, than apply into the LCM equation.

GCF(88860,88866) = 6
LCM(88860,88866) = ( 88860 × 88866) / 6
LCM(88860,88866) = 7896632760 / 6
LCM(88860,88866) = 1316105460

Least Common Multiple (LCM) of 88860 and 88866 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88860 and 88866. First we will calculate the prime factors of 88860 and 88866.

Prime Factorization of 88860

Prime Factorization of 88866

Now multiplying the highest exponent prime factors to calculate the LCM of 88860 and 88866.

LCM(88860,88866) = 2² × 3² × 5¹ × 1481¹ × 4937¹
LCM(88860,88866) = 1316105460