What is the Least Common Multiple of 42872 and 42886?

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 42872 and 42886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42872 and 42886, than apply into the LCM equation.

GCF(42872,42886) = 2
LCM(42872,42886) = ( 42872 × 42886) / 2
LCM(42872,42886) = 1838608592 / 2
LCM(42872,42886) = 919304296

Least Common Multiple (LCM) of 42872 and 42886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42872 and 42886. First we will calculate the prime factors of 42872 and 42886.

Prime Factorization of 42872

Prime Factorization of 42886

Now multiplying the highest exponent prime factors to calculate the LCM of 42872 and 42886.

LCM(42872,42886) = 2³ × 23¹ × 233¹ × 41¹ × 523¹
LCM(42872,42886) = 919304296