What is the Least Common Multiple of 83054 and 83072?

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 83054 and 83072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83054 and 83072, than apply into the LCM equation.

GCF(83054,83072) = 2
LCM(83054,83072) = ( 83054 × 83072) / 2
LCM(83054,83072) = 6899461888 / 2
LCM(83054,83072) = 3449730944

Least Common Multiple (LCM) of 83054 and 83072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83054 and 83072. First we will calculate the prime factors of 83054 and 83072.

Prime Factorization of 83054

Prime Factorization of 83072

Now multiplying the highest exponent prime factors to calculate the LCM of 83054 and 83072.

LCM(83054,83072) = 2⁷ × 131¹ × 317¹ × 11¹ × 59¹
LCM(83054,83072) = 3449730944