What is the Least Common Multiple of 89673 and 89691?

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 89673 and 89691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89673 and 89691, than apply into the LCM equation.

GCF(89673,89691) = 3
LCM(89673,89691) = ( 89673 × 89691) / 3
LCM(89673,89691) = 8042861043 / 3
LCM(89673,89691) = 2680953681

Least Common Multiple (LCM) of 89673 and 89691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89673 and 89691. First we will calculate the prime factors of 89673 and 89691.

Prime Factorization of 89673

Prime Factorization of 89691

Now multiplying the highest exponent prime factors to calculate the LCM of 89673 and 89691.

LCM(89673,89691) = 3¹ × 71¹ × 421¹ × 7¹ × 4271¹
LCM(89673,89691) = 2680953681