What is the Least Common Multiple of 42768 and 42785?

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 42768 and 42785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42768 and 42785, than apply into the LCM equation.

GCF(42768,42785) = 1
LCM(42768,42785) = ( 42768 × 42785) / 1
LCM(42768,42785) = 1829828880 / 1
LCM(42768,42785) = 1829828880

Least Common Multiple (LCM) of 42768 and 42785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42768 and 42785. First we will calculate the prime factors of 42768 and 42785.

Prime Factorization of 42768

Prime Factorization of 42785

Now multiplying the highest exponent prime factors to calculate the LCM of 42768 and 42785.

LCM(42768,42785) = 2⁴ × 3⁵ × 11¹ × 5¹ × 43¹ × 199¹
LCM(42768,42785) = 1829828880