What is the Least Common Multiple of 88100 and 88105?

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 88100 and 88105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88100 and 88105, than apply into the LCM equation.

GCF(88100,88105) = 5
LCM(88100,88105) = ( 88100 × 88105) / 5
LCM(88100,88105) = 7762050500 / 5
LCM(88100,88105) = 1552410100

Least Common Multiple (LCM) of 88100 and 88105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88100 and 88105. First we will calculate the prime factors of 88100 and 88105.

Prime Factorization of 88100

Prime Factorization of 88105

Now multiplying the highest exponent prime factors to calculate the LCM of 88100 and 88105.

LCM(88100,88105) = 2² × 5² × 881¹ × 67¹ × 263¹
LCM(88100,88105) = 1552410100