What is the Least Common Multiple of 77296 and 77304?

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 77304 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 77304, than apply into the LCM equation.

GCF(77296,77304) = 8
LCM(77296,77304) = ( 77296 × 77304) / 8
LCM(77296,77304) = 5975289984 / 8
LCM(77296,77304) = 746911248

Least Common Multiple (LCM) of 77296 and 77304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77296 and 77304. First we will calculate the prime factors of 77296 and 77304.

Prime Factorization of 77296

Prime Factorization of 77304

Now multiplying the highest exponent prime factors to calculate the LCM of 77296 and 77304.

LCM(77296,77304) = 2⁴ × 4831¹ × 3¹ × 3221¹
LCM(77296,77304) = 746911248