What is the Least Common Multiple of 52878 and 52890?

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 52878 and 52890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52878 and 52890, than apply into the LCM equation.

GCF(52878,52890) = 6
LCM(52878,52890) = ( 52878 × 52890) / 6
LCM(52878,52890) = 2796717420 / 6
LCM(52878,52890) = 466119570

Least Common Multiple (LCM) of 52878 and 52890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52878 and 52890. First we will calculate the prime factors of 52878 and 52890.

Prime Factorization of 52878

Prime Factorization of 52890

Now multiplying the highest exponent prime factors to calculate the LCM of 52878 and 52890.

LCM(52878,52890) = 2¹ × 3¹ × 7¹ × 1259¹ × 5¹ × 41¹ × 43¹
LCM(52878,52890) = 466119570