What is the Least Common Multiple of 52890 and 52900?

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 52890 and 52900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52890 and 52900, than apply into the LCM equation.

GCF(52890,52900) = 10
LCM(52890,52900) = ( 52890 × 52900) / 10
LCM(52890,52900) = 2797881000 / 10
LCM(52890,52900) = 279788100

Least Common Multiple (LCM) of 52890 and 52900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52890 and 52900. First we will calculate the prime factors of 52890 and 52900.

Prime Factorization of 52890

Prime Factorization of 52900

Now multiplying the highest exponent prime factors to calculate the LCM of 52890 and 52900.

LCM(52890,52900) = 2² × 3¹ × 5² × 41¹ × 43¹ × 23²
LCM(52890,52900) = 279788100