What is the Least Common Multiple of 74559 and 74573?

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 74559 and 74573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74559 and 74573, than apply into the LCM equation.

GCF(74559,74573) = 1
LCM(74559,74573) = ( 74559 × 74573) / 1
LCM(74559,74573) = 5560088307 / 1
LCM(74559,74573) = 5560088307

Least Common Multiple (LCM) of 74559 and 74573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74559 and 74573. First we will calculate the prime factors of 74559 and 74573.

Prime Factorization of 74559

Prime Factorization of 74573

Now multiplying the highest exponent prime factors to calculate the LCM of 74559 and 74573.

LCM(74559,74573) = 3¹ × 29¹ × 857¹ × 74573¹
LCM(74559,74573) = 5560088307