What is the Least Common Multiple of 42704 and 42712?

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 42704 and 42712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42704 and 42712, than apply into the LCM equation.

GCF(42704,42712) = 8
LCM(42704,42712) = ( 42704 × 42712) / 8
LCM(42704,42712) = 1823973248 / 8
LCM(42704,42712) = 227996656

Least Common Multiple (LCM) of 42704 and 42712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42704 and 42712. First we will calculate the prime factors of 42704 and 42712.

Prime Factorization of 42704

Prime Factorization of 42712

Now multiplying the highest exponent prime factors to calculate the LCM of 42704 and 42712.

LCM(42704,42712) = 2⁴ × 17¹ × 157¹ × 19¹ × 281¹
LCM(42704,42712) = 227996656