What is the Least Common Multiple of 42704 and 42714?

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 42714 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 42714, than apply into the LCM equation.

GCF(42704,42714) = 2
LCM(42704,42714) = ( 42704 × 42714) / 2
LCM(42704,42714) = 1824058656 / 2
LCM(42704,42714) = 912029328

Least Common Multiple (LCM) of 42704 and 42714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42704 and 42714. First we will calculate the prime factors of 42704 and 42714.

Prime Factorization of 42704

Prime Factorization of 42714

Now multiplying the highest exponent prime factors to calculate the LCM of 42704 and 42714.

LCM(42704,42714) = 2⁴ × 17¹ × 157¹ × 3³ × 7¹ × 113¹
LCM(42704,42714) = 912029328