What is the Least Common Multiple of 53925 and 53935?

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 53925 and 53935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53925 and 53935, than apply into the LCM equation.

GCF(53925,53935) = 5
LCM(53925,53935) = ( 53925 × 53935) / 5
LCM(53925,53935) = 2908444875 / 5
LCM(53925,53935) = 581688975

Least Common Multiple (LCM) of 53925 and 53935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53925 and 53935. First we will calculate the prime factors of 53925 and 53935.

Prime Factorization of 53925

Prime Factorization of 53935

Now multiplying the highest exponent prime factors to calculate the LCM of 53925 and 53935.

LCM(53925,53935) = 3¹ × 5² × 719¹ × 7¹ × 23¹ × 67¹
LCM(53925,53935) = 581688975