What is the Least Common Multiple of 22780 and 22798?

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 22780 and 22798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22780 and 22798, than apply into the LCM equation.

GCF(22780,22798) = 2
LCM(22780,22798) = ( 22780 × 22798) / 2
LCM(22780,22798) = 519338440 / 2
LCM(22780,22798) = 259669220

Least Common Multiple (LCM) of 22780 and 22798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22780 and 22798. First we will calculate the prime factors of 22780 and 22798.

Prime Factorization of 22780

Prime Factorization of 22798

Now multiplying the highest exponent prime factors to calculate the LCM of 22780 and 22798.

LCM(22780,22798) = 2² × 5¹ × 17¹ × 67¹ × 11399¹
LCM(22780,22798) = 259669220