What is the Least Common Multiple of 24930 and 24945?

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 24930 and 24945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24930 and 24945, than apply into the LCM equation.

GCF(24930,24945) = 15
LCM(24930,24945) = ( 24930 × 24945) / 15
LCM(24930,24945) = 621878850 / 15
LCM(24930,24945) = 41458590

Least Common Multiple (LCM) of 24930 and 24945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24930 and 24945. First we will calculate the prime factors of 24930 and 24945.

Prime Factorization of 24930

Prime Factorization of 24945

Now multiplying the highest exponent prime factors to calculate the LCM of 24930 and 24945.

LCM(24930,24945) = 2¹ × 3² × 5¹ × 277¹ × 1663¹
LCM(24930,24945) = 41458590