What is the Least Common Multiple of 42768 and 42787?

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 42787 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 42787, than apply into the LCM equation.

GCF(42768,42787) = 1
LCM(42768,42787) = ( 42768 × 42787) / 1
LCM(42768,42787) = 1829914416 / 1
LCM(42768,42787) = 1829914416

Least Common Multiple (LCM) of 42768 and 42787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42768 and 42787. First we will calculate the prime factors of 42768 and 42787.

Prime Factorization of 42768

Prime Factorization of 42787

Now multiplying the highest exponent prime factors to calculate the LCM of 42768 and 42787.

LCM(42768,42787) = 2⁴ × 3⁵ × 11¹ × 42787¹
LCM(42768,42787) = 1829914416