What is the Least Common Multiple of 89288 and 89306?

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 89288 and 89306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89288 and 89306, than apply into the LCM equation.

GCF(89288,89306) = 2
LCM(89288,89306) = ( 89288 × 89306) / 2
LCM(89288,89306) = 7973954128 / 2
LCM(89288,89306) = 3986977064

Least Common Multiple (LCM) of 89288 and 89306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89288 and 89306. First we will calculate the prime factors of 89288 and 89306.

Prime Factorization of 89288

Prime Factorization of 89306

Now multiplying the highest exponent prime factors to calculate the LCM of 89288 and 89306.

LCM(89288,89306) = 2³ × 11161¹ × 7¹ × 6379¹
LCM(89288,89306) = 3986977064