What is the Least Common Multiple of 4 and 248?

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 248 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 248, than apply into the LCM equation.

GCF(4,248) = 4
LCM(4,248) = ( 4 × 248) / 4
LCM(4,248) = 992 / 4
LCM(4,248) = 248

Least Common Multiple (LCM) of 4 and 248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4 and 248. First we will calculate the prime factors of 4 and 248.

Prime Factorization of 4

Prime Factorization of 248

Now multiplying the highest exponent prime factors to calculate the LCM of 4 and 248.

LCM(4,248) = 2³ × 31¹
LCM(4,248) = 248