What is the Least Common Multiple of 78804 and 78820?

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 78804 and 78820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78804 and 78820, than apply into the LCM equation.

GCF(78804,78820) = 4
LCM(78804,78820) = ( 78804 × 78820) / 4
LCM(78804,78820) = 6211331280 / 4
LCM(78804,78820) = 1552832820

Least Common Multiple (LCM) of 78804 and 78820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78804 and 78820. First we will calculate the prime factors of 78804 and 78820.

Prime Factorization of 78804

Prime Factorization of 78820

Now multiplying the highest exponent prime factors to calculate the LCM of 78804 and 78820.

LCM(78804,78820) = 2² × 3² × 11¹ × 199¹ × 5¹ × 7¹ × 563¹
LCM(78804,78820) = 1552832820