What is the Least Common Multiple of 24780 and 24789?

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 24780 and 24789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24780 and 24789, than apply into the LCM equation.

GCF(24780,24789) = 3
LCM(24780,24789) = ( 24780 × 24789) / 3
LCM(24780,24789) = 614271420 / 3
LCM(24780,24789) = 204757140

Least Common Multiple (LCM) of 24780 and 24789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24780 and 24789. First we will calculate the prime factors of 24780 and 24789.

Prime Factorization of 24780

Prime Factorization of 24789

Now multiplying the highest exponent prime factors to calculate the LCM of 24780 and 24789.

LCM(24780,24789) = 2² × 3¹ × 5¹ × 7¹ × 59¹ × 8263¹
LCM(24780,24789) = 204757140