What is the Least Common Multiple of 22776 and 22794?

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 22776 and 22794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22776 and 22794, than apply into the LCM equation.

GCF(22776,22794) = 6
LCM(22776,22794) = ( 22776 × 22794) / 6
LCM(22776,22794) = 519156144 / 6
LCM(22776,22794) = 86526024

Least Common Multiple (LCM) of 22776 and 22794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22776 and 22794. First we will calculate the prime factors of 22776 and 22794.

Prime Factorization of 22776

Prime Factorization of 22794

Now multiplying the highest exponent prime factors to calculate the LCM of 22776 and 22794.

LCM(22776,22794) = 2³ × 3¹ × 13¹ × 73¹ × 29¹ × 131¹
LCM(22776,22794) = 86526024