What is the Least Common Multiple of 52890 and 52896?

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 52896 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 52896, than apply into the LCM equation.

GCF(52890,52896) = 6
LCM(52890,52896) = ( 52890 × 52896) / 6
LCM(52890,52896) = 2797669440 / 6
LCM(52890,52896) = 466278240

Least Common Multiple (LCM) of 52890 and 52896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52890 and 52896. First we will calculate the prime factors of 52890 and 52896.

Prime Factorization of 52890

Prime Factorization of 52896

Now multiplying the highest exponent prime factors to calculate the LCM of 52890 and 52896.

LCM(52890,52896) = 2⁵ × 3¹ × 5¹ × 41¹ × 43¹ × 19¹ × 29¹
LCM(52890,52896) = 466278240