What is the Least Common Multiple of 89770 and 89774?

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 89770 and 89774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89770 and 89774, than apply into the LCM equation.

GCF(89770,89774) = 2
LCM(89770,89774) = ( 89770 × 89774) / 2
LCM(89770,89774) = 8059011980 / 2
LCM(89770,89774) = 4029505990

Least Common Multiple (LCM) of 89770 and 89774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89770 and 89774. First we will calculate the prime factors of 89770 and 89774.

Prime Factorization of 89770

Prime Factorization of 89774

Now multiplying the highest exponent prime factors to calculate the LCM of 89770 and 89774.

LCM(89770,89774) = 2¹ × 5¹ × 47¹ × 191¹ × 44887¹
LCM(89770,89774) = 4029505990