What is the Least Common Multiple of 24340 and 24351?

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 24340 and 24351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24340 and 24351, than apply into the LCM equation.

GCF(24340,24351) = 1
LCM(24340,24351) = ( 24340 × 24351) / 1
LCM(24340,24351) = 592703340 / 1
LCM(24340,24351) = 592703340

Least Common Multiple (LCM) of 24340 and 24351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24340 and 24351. First we will calculate the prime factors of 24340 and 24351.

Prime Factorization of 24340

Prime Factorization of 24351

Now multiplying the highest exponent prime factors to calculate the LCM of 24340 and 24351.

LCM(24340,24351) = 2² × 5¹ × 1217¹ × 3¹ × 8117¹
LCM(24340,24351) = 592703340