What is the Least Common Multiple of 89741 and 89761?

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 89741 and 89761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89741 and 89761, than apply into the LCM equation.

GCF(89741,89761) = 1
LCM(89741,89761) = ( 89741 × 89761) / 1
LCM(89741,89761) = 8055241901 / 1
LCM(89741,89761) = 8055241901

Least Common Multiple (LCM) of 89741 and 89761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89741 and 89761. First we will calculate the prime factors of 89741 and 89761.

Prime Factorization of 89741

Prime Factorization of 89761

Now multiplying the highest exponent prime factors to calculate the LCM of 89741 and 89761.

LCM(89741,89761) = 43¹ × 2087¹ × 7¹ × 12823¹
LCM(89741,89761) = 8055241901