What is the Least Common Multiple of 71054 and 71064?

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 71054 and 71064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71054 and 71064, than apply into the LCM equation.

GCF(71054,71064) = 2
LCM(71054,71064) = ( 71054 × 71064) / 2
LCM(71054,71064) = 5049381456 / 2
LCM(71054,71064) = 2524690728

Least Common Multiple (LCM) of 71054 and 71064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71054 and 71064. First we will calculate the prime factors of 71054 and 71064.

Prime Factorization of 71054

Prime Factorization of 71064

Now multiplying the highest exponent prime factors to calculate the LCM of 71054 and 71064.

LCM(71054,71064) = 2³ × 35527¹ × 3³ × 7¹ × 47¹
LCM(71054,71064) = 2524690728