What is the Least Common Multiple of 74867 and 74887?

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 74867 and 74887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74867 and 74887, than apply into the LCM equation.

GCF(74867,74887) = 1
LCM(74867,74887) = ( 74867 × 74887) / 1
LCM(74867,74887) = 5606565029 / 1
LCM(74867,74887) = 5606565029

Least Common Multiple (LCM) of 74867 and 74887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74867 and 74887. First we will calculate the prime factors of 74867 and 74887.

Prime Factorization of 74867

Prime Factorization of 74887

Now multiplying the highest exponent prime factors to calculate the LCM of 74867 and 74887.

LCM(74867,74887) = 13² × 443¹ × 74887¹
LCM(74867,74887) = 5606565029