What is the Least Common Multiple of 24290 and 24305?

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 24290 and 24305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24290 and 24305, than apply into the LCM equation.

GCF(24290,24305) = 5
LCM(24290,24305) = ( 24290 × 24305) / 5
LCM(24290,24305) = 590368450 / 5
LCM(24290,24305) = 118073690

Least Common Multiple (LCM) of 24290 and 24305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24290 and 24305. First we will calculate the prime factors of 24290 and 24305.

Prime Factorization of 24290

Prime Factorization of 24305

Now multiplying the highest exponent prime factors to calculate the LCM of 24290 and 24305.

LCM(24290,24305) = 2¹ × 5¹ × 7¹ × 347¹ × 4861¹
LCM(24290,24305) = 118073690