What is the Least Common Multiple of 77296 and 77307?

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 77307 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 77307, than apply into the LCM equation.

GCF(77296,77307) = 1
LCM(77296,77307) = ( 77296 × 77307) / 1
LCM(77296,77307) = 5975521872 / 1
LCM(77296,77307) = 5975521872

Least Common Multiple (LCM) of 77296 and 77307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77296 and 77307. First we will calculate the prime factors of 77296 and 77307.

Prime Factorization of 77296

Prime Factorization of 77307

Now multiplying the highest exponent prime factors to calculate the LCM of 77296 and 77307.

LCM(77296,77307) = 2⁴ × 4831¹ × 3¹ × 73¹ × 353¹
LCM(77296,77307) = 5975521872