What is the Least Common Multiple of 4 and 424?

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 4 and 424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4 and 424, than apply into the LCM equation.

GCF(4,424) = 4
LCM(4,424) = ( 4 × 424) / 4
LCM(4,424) = 1696 / 4
LCM(4,424) = 424

Least Common Multiple (LCM) of 4 and 424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 424. First we will calculate the prime factors of 4 and 424.

Prime Factorization of 4

Prime Factorization of 424

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 424.

LCM(4,424) = 2³ × 53¹
LCM(4,424) = 424