What is the Least Common Multiple of 74816 and 74829?

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 74816 and 74829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74816 and 74829, than apply into the LCM equation.

GCF(74816,74829) = 1
LCM(74816,74829) = ( 74816 × 74829) / 1
LCM(74816,74829) = 5598406464 / 1
LCM(74816,74829) = 5598406464

Least Common Multiple (LCM) of 74816 and 74829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74816 and 74829. First we will calculate the prime factors of 74816 and 74829.

Prime Factorization of 74816

Prime Factorization of 74829

Now multiplying the highest exponent prime factors to calculate the LCM of 74816 and 74829.

LCM(74816,74829) = 2⁶ × 7¹ × 167¹ × 3¹ × 24943¹
LCM(74816,74829) = 5598406464