What is the Least Common Multiple of 73824 and 73828?

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 73828 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 73828, than apply into the LCM equation.

GCF(73824,73828) = 4
LCM(73824,73828) = ( 73824 × 73828) / 4
LCM(73824,73828) = 5450278272 / 4
LCM(73824,73828) = 1362569568

Least Common Multiple (LCM) of 73824 and 73828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73824 and 73828. First we will calculate the prime factors of 73824 and 73828.

Prime Factorization of 73824

Prime Factorization of 73828

Now multiplying the highest exponent prime factors to calculate the LCM of 73824 and 73828.

LCM(73824,73828) = 2⁵ × 3¹ × 769¹ × 18457¹
LCM(73824,73828) = 1362569568