What is the Least Common Multiple of 48834 and 48840?

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 48834 and 48840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48834 and 48840, than apply into the LCM equation.

GCF(48834,48840) = 6
LCM(48834,48840) = ( 48834 × 48840) / 6
LCM(48834,48840) = 2385052560 / 6
LCM(48834,48840) = 397508760

Least Common Multiple (LCM) of 48834 and 48840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48834 and 48840. First we will calculate the prime factors of 48834 and 48840.

Prime Factorization of 48834

Prime Factorization of 48840

Now multiplying the highest exponent prime factors to calculate the LCM of 48834 and 48840.

LCM(48834,48840) = 2³ × 3² × 2713¹ × 5¹ × 11¹ × 37¹
LCM(48834,48840) = 397508760