What is the Least Common Multiple of 22516 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 22516 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 22516 and 22526, than apply into the LCM equation.

GCF(22516,22526) = 2
LCM(22516,22526) = ( 22516 × 22526) / 2
LCM(22516,22526) = 507195416 / 2
LCM(22516,22526) = 253597708

Least Common Multiple (LCM) of 22516 and 22526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22516 and 22526. First we will calculate the prime factors of 22516 and 22526.

Prime Factorization of 22516

Prime Factorization of 22526

Now multiplying the highest exponent prime factors to calculate the LCM of 22516 and 22526.

LCM(22516,22526) = 2² × 13¹ × 433¹ × 7¹ × 1609¹
LCM(22516,22526) = 253597708