What is the Least Common Multiple of 88644 and 88650?

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 88644 and 88650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88644 and 88650, than apply into the LCM equation.

GCF(88644,88650) = 6
LCM(88644,88650) = ( 88644 × 88650) / 6
LCM(88644,88650) = 7858290600 / 6
LCM(88644,88650) = 1309715100

Least Common Multiple (LCM) of 88644 and 88650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88644 and 88650. First we will calculate the prime factors of 88644 and 88650.

Prime Factorization of 88644

Prime Factorization of 88650

Now multiplying the highest exponent prime factors to calculate the LCM of 88644 and 88650.

LCM(88644,88650) = 2² × 3² × 83¹ × 89¹ × 5² × 197¹
LCM(88644,88650) = 1309715100