What is the Least Common Multiple of 48824 and 48838?

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 48824 and 48838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48824 and 48838, than apply into the LCM equation.

GCF(48824,48838) = 2
LCM(48824,48838) = ( 48824 × 48838) / 2
LCM(48824,48838) = 2384466512 / 2
LCM(48824,48838) = 1192233256

Least Common Multiple (LCM) of 48824 and 48838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48824 and 48838. First we will calculate the prime factors of 48824 and 48838.

Prime Factorization of 48824

Prime Factorization of 48838

Now multiplying the highest exponent prime factors to calculate the LCM of 48824 and 48838.

LCM(48824,48838) = 2³ × 17¹ × 359¹ × 24419¹
LCM(48824,48838) = 1192233256