What is the Least Common Multiple of 71064 and 71080?

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 71064 and 71080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71064 and 71080, than apply into the LCM equation.

GCF(71064,71080) = 8
LCM(71064,71080) = ( 71064 × 71080) / 8
LCM(71064,71080) = 5051229120 / 8
LCM(71064,71080) = 631403640

Least Common Multiple (LCM) of 71064 and 71080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71064 and 71080. First we will calculate the prime factors of 71064 and 71080.

Prime Factorization of 71064

Prime Factorization of 71080

Now multiplying the highest exponent prime factors to calculate the LCM of 71064 and 71080.

LCM(71064,71080) = 2³ × 3³ × 7¹ × 47¹ × 5¹ × 1777¹
LCM(71064,71080) = 631403640