What is the Least Common Multiple of 42888 and 42902?

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 42888 and 42902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42888 and 42902, than apply into the LCM equation.

GCF(42888,42902) = 2
LCM(42888,42902) = ( 42888 × 42902) / 2
LCM(42888,42902) = 1839980976 / 2
LCM(42888,42902) = 919990488

Least Common Multiple (LCM) of 42888 and 42902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42888 and 42902. First we will calculate the prime factors of 42888 and 42902.

Prime Factorization of 42888

Prime Factorization of 42902

Now multiplying the highest exponent prime factors to calculate the LCM of 42888 and 42902.

LCM(42888,42902) = 2³ × 3¹ × 1787¹ × 19¹ × 1129¹
LCM(42888,42902) = 919990488