What is the Least Common Multiple of 23424 and 23434?

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 23424 and 23434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23424 and 23434, than apply into the LCM equation.

GCF(23424,23434) = 2
LCM(23424,23434) = ( 23424 × 23434) / 2
LCM(23424,23434) = 548918016 / 2
LCM(23424,23434) = 274459008

Least Common Multiple (LCM) of 23424 and 23434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23424 and 23434. First we will calculate the prime factors of 23424 and 23434.

Prime Factorization of 23424

Prime Factorization of 23434

Now multiplying the highest exponent prime factors to calculate the LCM of 23424 and 23434.

LCM(23424,23434) = 2⁷ × 3¹ × 61¹ × 11717¹
LCM(23424,23434) = 274459008