What is the Least Common Multiple of 88880 and 88891?

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 88880 and 88891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88880 and 88891, than apply into the LCM equation.

GCF(88880,88891) = 11
LCM(88880,88891) = ( 88880 × 88891) / 11
LCM(88880,88891) = 7900632080 / 11
LCM(88880,88891) = 718239280

Least Common Multiple (LCM) of 88880 and 88891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88880 and 88891. First we will calculate the prime factors of 88880 and 88891.

Prime Factorization of 88880

Prime Factorization of 88891

Now multiplying the highest exponent prime factors to calculate the LCM of 88880 and 88891.

LCM(88880,88891) = 2⁴ × 5¹ × 11¹ × 101¹ × 8081¹
LCM(88880,88891) = 718239280