What is the Least Common Multiple of 74608 and 74619?

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 74608 and 74619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74608 and 74619, than apply into the LCM equation.

GCF(74608,74619) = 1
LCM(74608,74619) = ( 74608 × 74619) / 1
LCM(74608,74619) = 5567174352 / 1
LCM(74608,74619) = 5567174352

Least Common Multiple (LCM) of 74608 and 74619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74608 and 74619. First we will calculate the prime factors of 74608 and 74619.

Prime Factorization of 74608

Prime Factorization of 74619

Now multiplying the highest exponent prime factors to calculate the LCM of 74608 and 74619.

LCM(74608,74619) = 2⁴ × 4663¹ × 3² × 8291¹
LCM(74608,74619) = 5567174352