What is the Least Common Multiple of 53865 and 53884?

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 53865 and 53884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53865 and 53884, than apply into the LCM equation.

GCF(53865,53884) = 19
LCM(53865,53884) = ( 53865 × 53884) / 19
LCM(53865,53884) = 2902461660 / 19
LCM(53865,53884) = 152761140

Least Common Multiple (LCM) of 53865 and 53884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53865 and 53884. First we will calculate the prime factors of 53865 and 53884.

Prime Factorization of 53865

Prime Factorization of 53884

Now multiplying the highest exponent prime factors to calculate the LCM of 53865 and 53884.

LCM(53865,53884) = 3⁴ × 5¹ × 7¹ × 19¹ × 2² × 709¹
LCM(53865,53884) = 152761140