What is the Least Common Multiple of 53489 and 53509?

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 53489 and 53509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53489 and 53509, than apply into the LCM equation.

GCF(53489,53509) = 1
LCM(53489,53509) = ( 53489 × 53509) / 1
LCM(53489,53509) = 2862142901 / 1
LCM(53489,53509) = 2862142901

Least Common Multiple (LCM) of 53489 and 53509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53489 and 53509. First we will calculate the prime factors of 53489 and 53509.

Prime Factorization of 53489

Prime Factorization of 53509

Now multiplying the highest exponent prime factors to calculate the LCM of 53489 and 53509.

LCM(53489,53509) = 89¹ × 601¹ × 73¹ × 733¹
LCM(53489,53509) = 2862142901