What is the Least Common Multiple of 70704 and 70712?

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 70712 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 70712, than apply into the LCM equation.

GCF(70704,70712) = 8
LCM(70704,70712) = ( 70704 × 70712) / 8
LCM(70704,70712) = 4999621248 / 8
LCM(70704,70712) = 624952656

Least Common Multiple (LCM) of 70704 and 70712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70704 and 70712. First we will calculate the prime factors of 70704 and 70712.

Prime Factorization of 70704

Prime Factorization of 70712

Now multiplying the highest exponent prime factors to calculate the LCM of 70704 and 70712.

LCM(70704,70712) = 2⁴ × 3² × 491¹ × 8839¹
LCM(70704,70712) = 624952656