What is the Least Common Multiple of 77296 and 77310?

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 77310 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 77310, than apply into the LCM equation.

GCF(77296,77310) = 2
LCM(77296,77310) = ( 77296 × 77310) / 2
LCM(77296,77310) = 5975753760 / 2
LCM(77296,77310) = 2987876880

Least Common Multiple (LCM) of 77296 and 77310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77296 and 77310. First we will calculate the prime factors of 77296 and 77310.

Prime Factorization of 77296

Prime Factorization of 77310

Now multiplying the highest exponent prime factors to calculate the LCM of 77296 and 77310.

LCM(77296,77310) = 2⁴ × 4831¹ × 3² × 5¹ × 859¹
LCM(77296,77310) = 2987876880