What is the Least Common Multiple of 77844 and 77864?

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 77844 and 77864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77844 and 77864, than apply into the LCM equation.

GCF(77844,77864) = 4
LCM(77844,77864) = ( 77844 × 77864) / 4
LCM(77844,77864) = 6061245216 / 4
LCM(77844,77864) = 1515311304

Least Common Multiple (LCM) of 77844 and 77864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77844 and 77864. First we will calculate the prime factors of 77844 and 77864.

Prime Factorization of 77844

Prime Factorization of 77864

Now multiplying the highest exponent prime factors to calculate the LCM of 77844 and 77864.

LCM(77844,77864) = 2³ × 3¹ × 13¹ × 499¹ × 9733¹
LCM(77844,77864) = 1515311304