What is the Least Common Multiple of 42596 and 42604?

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 42596 and 42604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42596 and 42604, than apply into the LCM equation.

GCF(42596,42604) = 4
LCM(42596,42604) = ( 42596 × 42604) / 4
LCM(42596,42604) = 1814759984 / 4
LCM(42596,42604) = 453689996

Least Common Multiple (LCM) of 42596 and 42604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42596 and 42604. First we will calculate the prime factors of 42596 and 42604.

Prime Factorization of 42596

Prime Factorization of 42604

Now multiplying the highest exponent prime factors to calculate the LCM of 42596 and 42604.

LCM(42596,42604) = 2² × 23¹ × 463¹ × 10651¹
LCM(42596,42604) = 453689996