What is the Least Common Multiple of 24628 and 24647?

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 24628 and 24647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24628 and 24647, than apply into the LCM equation.

GCF(24628,24647) = 1
LCM(24628,24647) = ( 24628 × 24647) / 1
LCM(24628,24647) = 607006316 / 1
LCM(24628,24647) = 607006316

Least Common Multiple (LCM) of 24628 and 24647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24628 and 24647. First we will calculate the prime factors of 24628 and 24647.

Prime Factorization of 24628

Prime Factorization of 24647

Now multiplying the highest exponent prime factors to calculate the LCM of 24628 and 24647.

LCM(24628,24647) = 2² × 47¹ × 131¹ × 7² × 503¹
LCM(24628,24647) = 607006316