What is the Least Common Multiple of 24840 and 24848?

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 24840 and 24848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24840 and 24848, than apply into the LCM equation.

GCF(24840,24848) = 8
LCM(24840,24848) = ( 24840 × 24848) / 8
LCM(24840,24848) = 617224320 / 8
LCM(24840,24848) = 77153040

Least Common Multiple (LCM) of 24840 and 24848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24840 and 24848. First we will calculate the prime factors of 24840 and 24848.

Prime Factorization of 24840

Prime Factorization of 24848

Now multiplying the highest exponent prime factors to calculate the LCM of 24840 and 24848.

LCM(24840,24848) = 2⁴ × 3³ × 5¹ × 23¹ × 1553¹
LCM(24840,24848) = 77153040