What is the Least Common Multiple of 77296 and 77303?

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 77296 and 77303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77296 and 77303, than apply into the LCM equation.

GCF(77296,77303) = 1
LCM(77296,77303) = ( 77296 × 77303) / 1
LCM(77296,77303) = 5975212688 / 1
LCM(77296,77303) = 5975212688

Least Common Multiple (LCM) of 77296 and 77303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77296 and 77303. First we will calculate the prime factors of 77296 and 77303.

Prime Factorization of 77296

Prime Factorization of 77303

Now multiplying the highest exponent prime factors to calculate the LCM of 77296 and 77303.

LCM(77296,77303) = 2⁴ × 4831¹ × 23¹ × 3361¹
LCM(77296,77303) = 5975212688