What is the Least Common Multiple of 22508 and 22526?

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 22508 and 22526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22508 and 22526, than apply into the LCM equation.

GCF(22508,22526) = 2
LCM(22508,22526) = ( 22508 × 22526) / 2
LCM(22508,22526) = 507015208 / 2
LCM(22508,22526) = 253507604

Least Common Multiple (LCM) of 22508 and 22526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22508 and 22526. First we will calculate the prime factors of 22508 and 22526.

Prime Factorization of 22508

Prime Factorization of 22526

Now multiplying the highest exponent prime factors to calculate the LCM of 22508 and 22526.

LCM(22508,22526) = 2² × 17¹ × 331¹ × 7¹ × 1609¹
LCM(22508,22526) = 253507604