What is the Least Common Multiple of 89268 and 89276?

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 89268 and 89276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89268 and 89276, than apply into the LCM equation.

GCF(89268,89276) = 4
LCM(89268,89276) = ( 89268 × 89276) / 4
LCM(89268,89276) = 7969489968 / 4
LCM(89268,89276) = 1992372492

Least Common Multiple (LCM) of 89268 and 89276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89268 and 89276. First we will calculate the prime factors of 89268 and 89276.

Prime Factorization of 89268

Prime Factorization of 89276

Now multiplying the highest exponent prime factors to calculate the LCM of 89268 and 89276.

LCM(89268,89276) = 2² × 3¹ × 43¹ × 173¹ × 11¹ × 2029¹
LCM(89268,89276) = 1992372492