What is the Least Common Multiple of 53824 and 53841?

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 53824 and 53841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53824 and 53841, than apply into the LCM equation.

GCF(53824,53841) = 1
LCM(53824,53841) = ( 53824 × 53841) / 1
LCM(53824,53841) = 2897937984 / 1
LCM(53824,53841) = 2897937984

Least Common Multiple (LCM) of 53824 and 53841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53824 and 53841. First we will calculate the prime factors of 53824 and 53841.

Prime Factorization of 53824

Prime Factorization of 53841

Now multiplying the highest exponent prime factors to calculate the LCM of 53824 and 53841.

LCM(53824,53841) = 2⁶ × 29² × 3¹ × 131¹ × 137¹
LCM(53824,53841) = 2897937984