What is the Least Common Multiple of 51804 and 51820?

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 51804 and 51820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51804 and 51820, than apply into the LCM equation.

GCF(51804,51820) = 4
LCM(51804,51820) = ( 51804 × 51820) / 4
LCM(51804,51820) = 2684483280 / 4
LCM(51804,51820) = 671120820

Least Common Multiple (LCM) of 51804 and 51820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51804 and 51820. First we will calculate the prime factors of 51804 and 51820.

Prime Factorization of 51804

Prime Factorization of 51820

Now multiplying the highest exponent prime factors to calculate the LCM of 51804 and 51820.

LCM(51804,51820) = 2² × 3² × 1439¹ × 5¹ × 2591¹
LCM(51804,51820) = 671120820