What is the Least Common Multiple of 24272 and 24280?

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 24272 and 24280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24272 and 24280, than apply into the LCM equation.

GCF(24272,24280) = 8
LCM(24272,24280) = ( 24272 × 24280) / 8
LCM(24272,24280) = 589324160 / 8
LCM(24272,24280) = 73665520

Least Common Multiple (LCM) of 24272 and 24280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24272 and 24280. First we will calculate the prime factors of 24272 and 24280.

Prime Factorization of 24272

Prime Factorization of 24280

Now multiplying the highest exponent prime factors to calculate the LCM of 24272 and 24280.

LCM(24272,24280) = 2⁴ × 37¹ × 41¹ × 5¹ × 607¹
LCM(24272,24280) = 73665520