What is the Least Common Multiple of 48806 and 48824?

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 48806 and 48824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48806 and 48824, than apply into the LCM equation.

GCF(48806,48824) = 2
LCM(48806,48824) = ( 48806 × 48824) / 2
LCM(48806,48824) = 2382904144 / 2
LCM(48806,48824) = 1191452072

Least Common Multiple (LCM) of 48806 and 48824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48806 and 48824. First we will calculate the prime factors of 48806 and 48824.

Prime Factorization of 48806

Prime Factorization of 48824

Now multiplying the highest exponent prime factors to calculate the LCM of 48806 and 48824.

LCM(48806,48824) = 2³ × 23¹ × 1061¹ × 17¹ × 359¹
LCM(48806,48824) = 1191452072