What is the Least Common Multiple of 73824 and 73838?

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 73824 and 73838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73824 and 73838, than apply into the LCM equation.

GCF(73824,73838) = 2
LCM(73824,73838) = ( 73824 × 73838) / 2
LCM(73824,73838) = 5451016512 / 2
LCM(73824,73838) = 2725508256

Least Common Multiple (LCM) of 73824 and 73838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73824 and 73838. First we will calculate the prime factors of 73824 and 73838.

Prime Factorization of 73824

Prime Factorization of 73838

Now multiplying the highest exponent prime factors to calculate the LCM of 73824 and 73838.

LCM(73824,73838) = 2⁵ × 3¹ × 769¹ × 36919¹
LCM(73824,73838) = 2725508256