What is the Least Common Multiple of 56678 and 56696?

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 56678 and 56696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56678 and 56696, than apply into the LCM equation.

GCF(56678,56696) = 2
LCM(56678,56696) = ( 56678 × 56696) / 2
LCM(56678,56696) = 3213415888 / 2
LCM(56678,56696) = 1606707944

Least Common Multiple (LCM) of 56678 and 56696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56678 and 56696. First we will calculate the prime factors of 56678 and 56696.

Prime Factorization of 56678

Prime Factorization of 56696

Now multiplying the highest exponent prime factors to calculate the LCM of 56678 and 56696.

LCM(56678,56696) = 2³ × 17¹ × 1667¹ × 19¹ × 373¹
LCM(56678,56696) = 1606707944