What is the Least Common Multiple of 67696 and 67711?

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 67696 and 67711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67696 and 67711, than apply into the LCM equation.

GCF(67696,67711) = 1
LCM(67696,67711) = ( 67696 × 67711) / 1
LCM(67696,67711) = 4583763856 / 1
LCM(67696,67711) = 4583763856

Least Common Multiple (LCM) of 67696 and 67711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67696 and 67711. First we will calculate the prime factors of 67696 and 67711.

Prime Factorization of 67696

Prime Factorization of 67711

Now multiplying the highest exponent prime factors to calculate the LCM of 67696 and 67711.

LCM(67696,67711) = 2⁴ × 4231¹ × 7¹ × 17¹ × 569¹
LCM(67696,67711) = 4583763856