What is the Least Common Multiple of 2232 and 2242?

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 2232 and 2242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2232 and 2242, than apply into the LCM equation.

GCF(2232,2242) = 2
LCM(2232,2242) = ( 2232 × 2242) / 2
LCM(2232,2242) = 5004144 / 2
LCM(2232,2242) = 2502072

Least Common Multiple (LCM) of 2232 and 2242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2232 and 2242. First we will calculate the prime factors of 2232 and 2242.

Prime Factorization of 2232

Prime Factorization of 2242

Now multiplying the highest exponent prime factors to calculate the LCM of 2232 and 2242.

LCM(2232,2242) = 2³ × 3² × 31¹ × 19¹ × 59¹
LCM(2232,2242) = 2502072