What is the Least Common Multiple of 42496 and 42500?

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 42496 and 42500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42496 and 42500, than apply into the LCM equation.

GCF(42496,42500) = 4
LCM(42496,42500) = ( 42496 × 42500) / 4
LCM(42496,42500) = 1806080000 / 4
LCM(42496,42500) = 451520000

Least Common Multiple (LCM) of 42496 and 42500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42496 and 42500. First we will calculate the prime factors of 42496 and 42500.

Prime Factorization of 42496

Prime Factorization of 42500

Now multiplying the highest exponent prime factors to calculate the LCM of 42496 and 42500.

LCM(42496,42500) = 2⁹ × 83¹ × 5⁴ × 17¹
LCM(42496,42500) = 451520000