What is the Least Common Multiple of 75677 and 75696?

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 75677 and 75696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75677 and 75696, than apply into the LCM equation.

GCF(75677,75696) = 19
LCM(75677,75696) = ( 75677 × 75696) / 19
LCM(75677,75696) = 5728446192 / 19
LCM(75677,75696) = 301497168

Least Common Multiple (LCM) of 75677 and 75696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75677 and 75696. First we will calculate the prime factors of 75677 and 75696.

Prime Factorization of 75677

Prime Factorization of 75696

Now multiplying the highest exponent prime factors to calculate the LCM of 75677 and 75696.

LCM(75677,75696) = 7¹ × 19¹ × 569¹ × 2⁴ × 3¹ × 83¹
LCM(75677,75696) = 301497168