What is the Least Common Multiple of 42872 and 42888?

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 42888 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 42888, than apply into the LCM equation.

GCF(42872,42888) = 8
LCM(42872,42888) = ( 42872 × 42888) / 8
LCM(42872,42888) = 1838694336 / 8
LCM(42872,42888) = 229836792

Least Common Multiple (LCM) of 42872 and 42888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42872 and 42888. First we will calculate the prime factors of 42872 and 42888.

Prime Factorization of 42872

Prime Factorization of 42888

Now multiplying the highest exponent prime factors to calculate the LCM of 42872 and 42888.

LCM(42872,42888) = 2³ × 23¹ × 233¹ × 3¹ × 1787¹
LCM(42872,42888) = 229836792