What is the Least Common Multiple of 42888 and 42896?

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 42896 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 42896, than apply into the LCM equation.

GCF(42888,42896) = 8
LCM(42888,42896) = ( 42888 × 42896) / 8
LCM(42888,42896) = 1839723648 / 8
LCM(42888,42896) = 229965456

Least Common Multiple (LCM) of 42888 and 42896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42888 and 42896. First we will calculate the prime factors of 42888 and 42896.

Prime Factorization of 42888

Prime Factorization of 42896

Now multiplying the highest exponent prime factors to calculate the LCM of 42888 and 42896.

LCM(42888,42896) = 2⁴ × 3¹ × 1787¹ × 7¹ × 383¹
LCM(42888,42896) = 229965456