What is the Least Common Multiple of 24772 and 24790?

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 24772 and 24790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24772 and 24790, than apply into the LCM equation.

GCF(24772,24790) = 2
LCM(24772,24790) = ( 24772 × 24790) / 2
LCM(24772,24790) = 614097880 / 2
LCM(24772,24790) = 307048940

Least Common Multiple (LCM) of 24772 and 24790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24772 and 24790. First we will calculate the prime factors of 24772 and 24790.

Prime Factorization of 24772

Prime Factorization of 24790

Now multiplying the highest exponent prime factors to calculate the LCM of 24772 and 24790.

LCM(24772,24790) = 2² × 11¹ × 563¹ × 5¹ × 37¹ × 67¹
LCM(24772,24790) = 307048940