What is the Least Common Multiple of 24710 and 24725?

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 24710 and 24725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24710 and 24725, than apply into the LCM equation.

GCF(24710,24725) = 5
LCM(24710,24725) = ( 24710 × 24725) / 5
LCM(24710,24725) = 610954750 / 5
LCM(24710,24725) = 122190950

Least Common Multiple (LCM) of 24710 and 24725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24710 and 24725. First we will calculate the prime factors of 24710 and 24725.

Prime Factorization of 24710

Prime Factorization of 24725

Now multiplying the highest exponent prime factors to calculate the LCM of 24710 and 24725.

LCM(24710,24725) = 2¹ × 5² × 7¹ × 353¹ × 23¹ × 43¹
LCM(24710,24725) = 122190950