What is the Least Common Multiple of 22776 and 22780?

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 22780 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 22780, than apply into the LCM equation.

GCF(22776,22780) = 4
LCM(22776,22780) = ( 22776 × 22780) / 4
LCM(22776,22780) = 518837280 / 4
LCM(22776,22780) = 129709320

Least Common Multiple (LCM) of 22776 and 22780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22776 and 22780. First we will calculate the prime factors of 22776 and 22780.

Prime Factorization of 22776

Prime Factorization of 22780

Now multiplying the highest exponent prime factors to calculate the LCM of 22776 and 22780.

LCM(22776,22780) = 2³ × 3¹ × 13¹ × 73¹ × 5¹ × 17¹ × 67¹
LCM(22776,22780) = 129709320