What is the Least Common Multiple of 24875 and 24890?

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 24875 and 24890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24875 and 24890, than apply into the LCM equation.

GCF(24875,24890) = 5
LCM(24875,24890) = ( 24875 × 24890) / 5
LCM(24875,24890) = 619138750 / 5
LCM(24875,24890) = 123827750

Least Common Multiple (LCM) of 24875 and 24890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24875 and 24890. First we will calculate the prime factors of 24875 and 24890.

Prime Factorization of 24875

Prime Factorization of 24890

Now multiplying the highest exponent prime factors to calculate the LCM of 24875 and 24890.

LCM(24875,24890) = 5³ × 199¹ × 2¹ × 19¹ × 131¹
LCM(24875,24890) = 123827750