What is the Least Common Multiple of 42768 and 42779?

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 42779 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 42779, than apply into the LCM equation.

GCF(42768,42779) = 11
LCM(42768,42779) = ( 42768 × 42779) / 11
LCM(42768,42779) = 1829572272 / 11
LCM(42768,42779) = 166324752

Least Common Multiple (LCM) of 42768 and 42779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42768 and 42779. First we will calculate the prime factors of 42768 and 42779.

Prime Factorization of 42768

Prime Factorization of 42779

Now multiplying the highest exponent prime factors to calculate the LCM of 42768 and 42779.

LCM(42768,42779) = 2⁴ × 3⁵ × 11¹ × 3889¹
LCM(42768,42779) = 166324752