What is the Least Common Multiple of 24705 and 24714?

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 24705 and 24714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24705 and 24714, than apply into the LCM equation.

GCF(24705,24714) = 9
LCM(24705,24714) = ( 24705 × 24714) / 9
LCM(24705,24714) = 610559370 / 9
LCM(24705,24714) = 67839930

Least Common Multiple (LCM) of 24705 and 24714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24705 and 24714. First we will calculate the prime factors of 24705 and 24714.

Prime Factorization of 24705

Prime Factorization of 24714

Now multiplying the highest exponent prime factors to calculate the LCM of 24705 and 24714.

LCM(24705,24714) = 3⁴ × 5¹ × 61¹ × 2¹ × 1373¹
LCM(24705,24714) = 67839930