What is the Least Common Multiple of 22780 and 22786?

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 22786 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 22786, than apply into the LCM equation.

GCF(22780,22786) = 2
LCM(22780,22786) = ( 22780 × 22786) / 2
LCM(22780,22786) = 519065080 / 2
LCM(22780,22786) = 259532540

Least Common Multiple (LCM) of 22780 and 22786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22780 and 22786. First we will calculate the prime factors of 22780 and 22786.

Prime Factorization of 22780

Prime Factorization of 22786

Now multiplying the highest exponent prime factors to calculate the LCM of 22780 and 22786.

LCM(22780,22786) = 2² × 5¹ × 17¹ × 67¹ × 11393¹
LCM(22780,22786) = 259532540