What is the Least Common Multiple of 70704 and 70716?

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 70704 and 70716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70704 and 70716, than apply into the LCM equation.

GCF(70704,70716) = 12
LCM(70704,70716) = ( 70704 × 70716) / 12
LCM(70704,70716) = 4999904064 / 12
LCM(70704,70716) = 416658672

Least Common Multiple (LCM) of 70704 and 70716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70704 and 70716. First we will calculate the prime factors of 70704 and 70716.

Prime Factorization of 70704

Prime Factorization of 70716

Now multiplying the highest exponent prime factors to calculate the LCM of 70704 and 70716.

LCM(70704,70716) = 2⁴ × 3² × 491¹ × 71¹ × 83¹
LCM(70704,70716) = 416658672