What is the Least Common Multiple of 53850 and 53865?

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 53850 and 53865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53850 and 53865, than apply into the LCM equation.

GCF(53850,53865) = 15
LCM(53850,53865) = ( 53850 × 53865) / 15
LCM(53850,53865) = 2900630250 / 15
LCM(53850,53865) = 193375350

Least Common Multiple (LCM) of 53850 and 53865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53850 and 53865. First we will calculate the prime factors of 53850 and 53865.

Prime Factorization of 53850

Prime Factorization of 53865

Now multiplying the highest exponent prime factors to calculate the LCM of 53850 and 53865.

LCM(53850,53865) = 2¹ × 3⁴ × 5² × 359¹ × 7¹ × 19¹
LCM(53850,53865) = 193375350