What is the Least Common Multiple of 77820 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 77820 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 77820 and 77829, than apply into the LCM equation.

GCF(77820,77829) = 3
LCM(77820,77829) = ( 77820 × 77829) / 3
LCM(77820,77829) = 6056652780 / 3
LCM(77820,77829) = 2018884260

Least Common Multiple (LCM) of 77820 and 77829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77820 and 77829. First we will calculate the prime factors of 77820 and 77829.

Prime Factorization of 77820

Prime Factorization of 77829

Now multiplying the highest exponent prime factors to calculate the LCM of 77820 and 77829.

LCM(77820,77829) = 2² × 3¹ × 5¹ × 1297¹ × 25943¹
LCM(77820,77829) = 2018884260