What is the Least Common Multiple of 74589 and 74608?

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 74589 and 74608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74589 and 74608, than apply into the LCM equation.

GCF(74589,74608) = 1
LCM(74589,74608) = ( 74589 × 74608) / 1
LCM(74589,74608) = 5564936112 / 1
LCM(74589,74608) = 5564936112

Least Common Multiple (LCM) of 74589 and 74608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74589 and 74608. First we will calculate the prime factors of 74589 and 74608.

Prime Factorization of 74589

Prime Factorization of 74608

Now multiplying the highest exponent prime factors to calculate the LCM of 74589 and 74608.

LCM(74589,74608) = 3¹ × 23² × 47¹ × 2⁴ × 4663¹
LCM(74589,74608) = 5564936112