What is the Least Common Multiple of 89306 and 89316?

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 89306 and 89316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89306 and 89316, than apply into the LCM equation.

GCF(89306,89316) = 2
LCM(89306,89316) = ( 89306 × 89316) / 2
LCM(89306,89316) = 7976454696 / 2
LCM(89306,89316) = 3988227348

Least Common Multiple (LCM) of 89306 and 89316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89306 and 89316. First we will calculate the prime factors of 89306 and 89316.

Prime Factorization of 89306

Prime Factorization of 89316

Now multiplying the highest exponent prime factors to calculate the LCM of 89306 and 89316.

LCM(89306,89316) = 2² × 7¹ × 6379¹ × 3³ × 827¹
LCM(89306,89316) = 3988227348