What is the Least Common Multiple of 53104 and 53111?

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 53104 and 53111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53104 and 53111, than apply into the LCM equation.

GCF(53104,53111) = 1
LCM(53104,53111) = ( 53104 × 53111) / 1
LCM(53104,53111) = 2820406544 / 1
LCM(53104,53111) = 2820406544

Least Common Multiple (LCM) of 53104 and 53111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53104 and 53111. First we will calculate the prime factors of 53104 and 53111.

Prime Factorization of 53104

Prime Factorization of 53111

Now multiplying the highest exponent prime factors to calculate the LCM of 53104 and 53111.

LCM(53104,53111) = 2⁴ × 3319¹ × 173¹ × 307¹
LCM(53104,53111) = 2820406544