What is the Least Common Multiple of 77820 and 77827?

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 77827 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 77827, than apply into the LCM equation.

GCF(77820,77827) = 1
LCM(77820,77827) = ( 77820 × 77827) / 1
LCM(77820,77827) = 6056497140 / 1
LCM(77820,77827) = 6056497140

Least Common Multiple (LCM) of 77820 and 77827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77820 and 77827. First we will calculate the prime factors of 77820 and 77827.

Prime Factorization of 77820

Prime Factorization of 77827

Now multiplying the highest exponent prime factors to calculate the LCM of 77820 and 77827.

LCM(77820,77827) = 2² × 3¹ × 5¹ × 1297¹ × 223¹ × 349¹
LCM(77820,77827) = 6056497140