What is the Least Common Multiple of 42696 and 42704?

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 42696 and 42704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42696 and 42704, than apply into the LCM equation.

GCF(42696,42704) = 8
LCM(42696,42704) = ( 42696 × 42704) / 8
LCM(42696,42704) = 1823289984 / 8
LCM(42696,42704) = 227911248

Least Common Multiple (LCM) of 42696 and 42704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42696 and 42704. First we will calculate the prime factors of 42696 and 42704.

Prime Factorization of 42696

Prime Factorization of 42704

Now multiplying the highest exponent prime factors to calculate the LCM of 42696 and 42704.

LCM(42696,42704) = 2⁴ × 3² × 593¹ × 17¹ × 157¹
LCM(42696,42704) = 227911248