What is the Least Common Multiple of 24920 and 24929?

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 24920 and 24929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24920 and 24929, than apply into the LCM equation.

GCF(24920,24929) = 1
LCM(24920,24929) = ( 24920 × 24929) / 1
LCM(24920,24929) = 621230680 / 1
LCM(24920,24929) = 621230680

Least Common Multiple (LCM) of 24920 and 24929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24920 and 24929. First we will calculate the prime factors of 24920 and 24929.

Prime Factorization of 24920

Prime Factorization of 24929

Now multiplying the highest exponent prime factors to calculate the LCM of 24920 and 24929.

LCM(24920,24929) = 2³ × 5¹ × 7¹ × 89¹ × 97¹ × 257¹
LCM(24920,24929) = 621230680