What is the Least Common Multiple of 77834 and 77846?

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 77834 and 77846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77834 and 77846, than apply into the LCM equation.

GCF(77834,77846) = 2
LCM(77834,77846) = ( 77834 × 77846) / 2
LCM(77834,77846) = 6059065564 / 2
LCM(77834,77846) = 3029532782

Least Common Multiple (LCM) of 77834 and 77846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77834 and 77846. First we will calculate the prime factors of 77834 and 77846.

Prime Factorization of 77834

Prime Factorization of 77846

Now multiplying the highest exponent prime factors to calculate the LCM of 77834 and 77846.

LCM(77834,77846) = 2¹ × 38917¹ × 38923¹
LCM(77834,77846) = 3029532782