What is the Least Common Multiple of 42768 and 42774?

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 42774 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 42774, than apply into the LCM equation.

GCF(42768,42774) = 6
LCM(42768,42774) = ( 42768 × 42774) / 6
LCM(42768,42774) = 1829358432 / 6
LCM(42768,42774) = 304893072

Least Common Multiple (LCM) of 42768 and 42774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42768 and 42774. First we will calculate the prime factors of 42768 and 42774.

Prime Factorization of 42768

Prime Factorization of 42774

Now multiplying the highest exponent prime factors to calculate the LCM of 42768 and 42774.

LCM(42768,42774) = 2⁴ × 3⁵ × 11¹ × 7129¹
LCM(42768,42774) = 304893072