What is the Least Common Multiple of 84904 and 84923?

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 84904 and 84923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84904 and 84923, than apply into the LCM equation.

GCF(84904,84923) = 1
LCM(84904,84923) = ( 84904 × 84923) / 1
LCM(84904,84923) = 7210302392 / 1
LCM(84904,84923) = 7210302392

Least Common Multiple (LCM) of 84904 and 84923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84904 and 84923. First we will calculate the prime factors of 84904 and 84923.

Prime Factorization of 84904

Prime Factorization of 84923

Now multiplying the highest exponent prime factors to calculate the LCM of 84904 and 84923.

LCM(84904,84923) = 2³ × 10613¹ × 163¹ × 521¹
LCM(84904,84923) = 7210302392