What is the Least Common Multiple of 52925 and 52940?

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 52925 and 52940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52925 and 52940, than apply into the LCM equation.

GCF(52925,52940) = 5
LCM(52925,52940) = ( 52925 × 52940) / 5
LCM(52925,52940) = 2801849500 / 5
LCM(52925,52940) = 560369900

Least Common Multiple (LCM) of 52925 and 52940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52925 and 52940. First we will calculate the prime factors of 52925 and 52940.

Prime Factorization of 52925

Prime Factorization of 52940

Now multiplying the highest exponent prime factors to calculate the LCM of 52925 and 52940.

LCM(52925,52940) = 5² × 29¹ × 73¹ × 2² × 2647¹
LCM(52925,52940) = 560369900