What is the Least Common Multiple of 42828 and 42846?

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 42828 and 42846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42828 and 42846, than apply into the LCM equation.

GCF(42828,42846) = 6
LCM(42828,42846) = ( 42828 × 42846) / 6
LCM(42828,42846) = 1835008488 / 6
LCM(42828,42846) = 305834748

Least Common Multiple (LCM) of 42828 and 42846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42828 and 42846. First we will calculate the prime factors of 42828 and 42846.

Prime Factorization of 42828

Prime Factorization of 42846

Now multiplying the highest exponent prime factors to calculate the LCM of 42828 and 42846.

LCM(42828,42846) = 2² × 3¹ × 43¹ × 83¹ × 37¹ × 193¹
LCM(42828,42846) = 305834748