What is the Least Common Multiple of 42496 and 42507?

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 42507 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 42507, than apply into the LCM equation.

GCF(42496,42507) = 1
LCM(42496,42507) = ( 42496 × 42507) / 1
LCM(42496,42507) = 1806377472 / 1
LCM(42496,42507) = 1806377472

Least Common Multiple (LCM) of 42496 and 42507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42496 and 42507. First we will calculate the prime factors of 42496 and 42507.

Prime Factorization of 42496

Prime Factorization of 42507

Now multiplying the highest exponent prime factors to calculate the LCM of 42496 and 42507.

LCM(42496,42507) = 2⁹ × 83¹ × 3² × 4723¹
LCM(42496,42507) = 1806377472