What is the Least Common Multiple of 65044 and 65053?

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 65044 and 65053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65044 and 65053, than apply into the LCM equation.

GCF(65044,65053) = 1
LCM(65044,65053) = ( 65044 × 65053) / 1
LCM(65044,65053) = 4231307332 / 1
LCM(65044,65053) = 4231307332

Least Common Multiple (LCM) of 65044 and 65053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65044 and 65053. First we will calculate the prime factors of 65044 and 65053.

Prime Factorization of 65044

Prime Factorization of 65053

Now multiplying the highest exponent prime factors to calculate the LCM of 65044 and 65053.

LCM(65044,65053) = 2² × 7¹ × 23¹ × 101¹ × 65053¹
LCM(65044,65053) = 4231307332