What is the Least Common Multiple of 89768 and 89775?

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 89768 and 89775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89768 and 89775, than apply into the LCM equation.

GCF(89768,89775) = 7
LCM(89768,89775) = ( 89768 × 89775) / 7
LCM(89768,89775) = 8058922200 / 7
LCM(89768,89775) = 1151274600

Least Common Multiple (LCM) of 89768 and 89775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89768 and 89775. First we will calculate the prime factors of 89768 and 89775.

Prime Factorization of 89768

Prime Factorization of 89775

Now multiplying the highest exponent prime factors to calculate the LCM of 89768 and 89775.

LCM(89768,89775) = 2³ × 7² × 229¹ × 3³ × 5² × 19¹
LCM(89768,89775) = 1151274600