What is the Least Common Multiple of 4264 and 4273?

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 4264 and 4273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4264 and 4273, than apply into the LCM equation.

GCF(4264,4273) = 1
LCM(4264,4273) = ( 4264 × 4273) / 1
LCM(4264,4273) = 18220072 / 1
LCM(4264,4273) = 18220072

Least Common Multiple (LCM) of 4264 and 4273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4264 and 4273. First we will calculate the prime factors of 4264 and 4273.

Prime Factorization of 4264

Prime Factorization of 4273

Now multiplying the highest exponent prime factors to calculate the LCM of 4264 and 4273.

LCM(4264,4273) = 2³ × 13¹ × 41¹ × 4273¹
LCM(4264,4273) = 18220072