What is the Least Common Multiple of 24420 and 24434?

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 24420 and 24434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24420 and 24434, than apply into the LCM equation.

GCF(24420,24434) = 2
LCM(24420,24434) = ( 24420 × 24434) / 2
LCM(24420,24434) = 596678280 / 2
LCM(24420,24434) = 298339140

Least Common Multiple (LCM) of 24420 and 24434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24420 and 24434. First we will calculate the prime factors of 24420 and 24434.

Prime Factorization of 24420

Prime Factorization of 24434

Now multiplying the highest exponent prime factors to calculate the LCM of 24420 and 24434.

LCM(24420,24434) = 2² × 3¹ × 5¹ × 11¹ × 37¹ × 19¹ × 643¹
LCM(24420,24434) = 298339140