What is the Least Common Multiple of 61824 and 61829?

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 61824 and 61829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61824 and 61829, than apply into the LCM equation.

GCF(61824,61829) = 1
LCM(61824,61829) = ( 61824 × 61829) / 1
LCM(61824,61829) = 3822516096 / 1
LCM(61824,61829) = 3822516096

Least Common Multiple (LCM) of 61824 and 61829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61824 and 61829. First we will calculate the prime factors of 61824 and 61829.

Prime Factorization of 61824

Prime Factorization of 61829

Now multiplying the highest exponent prime factors to calculate the LCM of 61824 and 61829.

LCM(61824,61829) = 2⁷ × 3¹ × 7¹ × 23¹ × 17¹ × 3637¹
LCM(61824,61829) = 3822516096