What is the Least Common Multiple of 42592 and 42599?

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 42592 and 42599 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42592 and 42599, than apply into the LCM equation.

GCF(42592,42599) = 1
LCM(42592,42599) = ( 42592 × 42599) / 1
LCM(42592,42599) = 1814376608 / 1
LCM(42592,42599) = 1814376608

Least Common Multiple (LCM) of 42592 and 42599 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42592 and 42599. First we will calculate the prime factors of 42592 and 42599.

Prime Factorization of 42592

Prime Factorization of 42599

Now multiplying the highest exponent prime factors to calculate the LCM of 42592 and 42599.

LCM(42592,42599) = 2⁵ × 11³ × 41¹ × 1039¹
LCM(42592,42599) = 1814376608