What is the Least Common Multiple of 89306 and 89326?

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 89326 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 89326, than apply into the LCM equation.

GCF(89306,89326) = 2
LCM(89306,89326) = ( 89306 × 89326) / 2
LCM(89306,89326) = 7977347756 / 2
LCM(89306,89326) = 3988673878

Least Common Multiple (LCM) of 89306 and 89326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89306 and 89326. First we will calculate the prime factors of 89306 and 89326.

Prime Factorization of 89306

Prime Factorization of 89326

Now multiplying the highest exponent prime factors to calculate the LCM of 89306 and 89326.

LCM(89306,89326) = 2¹ × 7¹ × 6379¹ × 59¹ × 757¹
LCM(89306,89326) = 3988673878