What is the Least Common Multiple of 42824 and 42828?

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 42824 and 42828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42824 and 42828, than apply into the LCM equation.

GCF(42824,42828) = 4
LCM(42824,42828) = ( 42824 × 42828) / 4
LCM(42824,42828) = 1834066272 / 4
LCM(42824,42828) = 458516568

Least Common Multiple (LCM) of 42824 and 42828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42824 and 42828. First we will calculate the prime factors of 42824 and 42828.

Prime Factorization of 42824

Prime Factorization of 42828

Now multiplying the highest exponent prime factors to calculate the LCM of 42824 and 42828.

LCM(42824,42828) = 2³ × 53¹ × 101¹ × 3¹ × 43¹ × 83¹
LCM(42824,42828) = 458516568