What is the Least Common Multiple of 24500 and 24516?

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 24500 and 24516 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24500 and 24516, than apply into the LCM equation.

GCF(24500,24516) = 4
LCM(24500,24516) = ( 24500 × 24516) / 4
LCM(24500,24516) = 600642000 / 4
LCM(24500,24516) = 150160500

Least Common Multiple (LCM) of 24500 and 24516 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24500 and 24516. First we will calculate the prime factors of 24500 and 24516.

Prime Factorization of 24500

Prime Factorization of 24516

Now multiplying the highest exponent prime factors to calculate the LCM of 24500 and 24516.

LCM(24500,24516) = 2² × 5³ × 7² × 3³ × 227¹
LCM(24500,24516) = 150160500