What is the Least Common Multiple of 89306 and 89319?

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 89319 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 89319, than apply into the LCM equation.

GCF(89306,89319) = 1
LCM(89306,89319) = ( 89306 × 89319) / 1
LCM(89306,89319) = 7976722614 / 1
LCM(89306,89319) = 7976722614

Least Common Multiple (LCM) of 89306 and 89319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89306 and 89319. First we will calculate the prime factors of 89306 and 89319.

Prime Factorization of 89306

Prime Factorization of 89319

Now multiplying the highest exponent prime factors to calculate the LCM of 89306 and 89319.

LCM(89306,89319) = 2¹ × 7¹ × 6379¹ × 3¹ × 19¹ × 1567¹
LCM(89306,89319) = 7976722614