What is the Least Common Multiple of 24825 and 24835?

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 24825 and 24835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24825 and 24835, than apply into the LCM equation.

GCF(24825,24835) = 5
LCM(24825,24835) = ( 24825 × 24835) / 5
LCM(24825,24835) = 616528875 / 5
LCM(24825,24835) = 123305775

Least Common Multiple (LCM) of 24825 and 24835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24825 and 24835. First we will calculate the prime factors of 24825 and 24835.

Prime Factorization of 24825

Prime Factorization of 24835

Now multiplying the highest exponent prime factors to calculate the LCM of 24825 and 24835.

LCM(24825,24835) = 3¹ × 5² × 331¹ × 4967¹
LCM(24825,24835) = 123305775