What is the Least Common Multiple of 22770 and 22779?

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 22770 and 22779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22770 and 22779, than apply into the LCM equation.

GCF(22770,22779) = 9
LCM(22770,22779) = ( 22770 × 22779) / 9
LCM(22770,22779) = 518677830 / 9
LCM(22770,22779) = 57630870

Least Common Multiple (LCM) of 22770 and 22779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22770 and 22779. First we will calculate the prime factors of 22770 and 22779.

Prime Factorization of 22770

Prime Factorization of 22779

Now multiplying the highest exponent prime factors to calculate the LCM of 22770 and 22779.

LCM(22770,22779) = 2¹ × 3² × 5¹ × 11¹ × 23¹ × 2531¹
LCM(22770,22779) = 57630870