What is the Least Common Multiple of 42816 and 42834?

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 42816 and 42834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42816 and 42834, than apply into the LCM equation.

GCF(42816,42834) = 6
LCM(42816,42834) = ( 42816 × 42834) / 6
LCM(42816,42834) = 1833980544 / 6
LCM(42816,42834) = 305663424

Least Common Multiple (LCM) of 42816 and 42834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42816 and 42834. First we will calculate the prime factors of 42816 and 42834.

Prime Factorization of 42816

Prime Factorization of 42834

Now multiplying the highest exponent prime factors to calculate the LCM of 42816 and 42834.

LCM(42816,42834) = 2⁶ × 3¹ × 223¹ × 11² × 59¹
LCM(42816,42834) = 305663424