What is the Least Common Multiple of 53559 and 53576?

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 53559 and 53576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53559 and 53576, than apply into the LCM equation.

GCF(53559,53576) = 1
LCM(53559,53576) = ( 53559 × 53576) / 1
LCM(53559,53576) = 2869476984 / 1
LCM(53559,53576) = 2869476984

Least Common Multiple (LCM) of 53559 and 53576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53559 and 53576. First we will calculate the prime factors of 53559 and 53576.

Prime Factorization of 53559

Prime Factorization of 53576

Now multiplying the highest exponent prime factors to calculate the LCM of 53559 and 53576.

LCM(53559,53576) = 3² × 11¹ × 541¹ × 2³ × 37¹ × 181¹
LCM(53559,53576) = 2869476984