What is the Least Common Multiple of 65388 and 65406?

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 65388 and 65406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65388 and 65406, than apply into the LCM equation.

GCF(65388,65406) = 6
LCM(65388,65406) = ( 65388 × 65406) / 6
LCM(65388,65406) = 4276767528 / 6
LCM(65388,65406) = 712794588

Least Common Multiple (LCM) of 65388 and 65406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65388 and 65406. First we will calculate the prime factors of 65388 and 65406.

Prime Factorization of 65388

Prime Factorization of 65406

Now multiplying the highest exponent prime factors to calculate the LCM of 65388 and 65406.

LCM(65388,65406) = 2² × 3¹ × 5449¹ × 11¹ × 991¹
LCM(65388,65406) = 712794588