What is the Least Common Multiple of 77812 and 77829?

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 77812 and 77829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77812 and 77829, than apply into the LCM equation.

GCF(77812,77829) = 1
LCM(77812,77829) = ( 77812 × 77829) / 1
LCM(77812,77829) = 6056030148 / 1
LCM(77812,77829) = 6056030148

Least Common Multiple (LCM) of 77812 and 77829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77812 and 77829. First we will calculate the prime factors of 77812 and 77829.

Prime Factorization of 77812

Prime Factorization of 77829

Now multiplying the highest exponent prime factors to calculate the LCM of 77812 and 77829.

LCM(77812,77829) = 2² × 7² × 397¹ × 3¹ × 25943¹
LCM(77812,77829) = 6056030148