What is the Least Common Multiple of 22645 and 22649?

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 22645 and 22649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22645 and 22649, than apply into the LCM equation.

GCF(22645,22649) = 1
LCM(22645,22649) = ( 22645 × 22649) / 1
LCM(22645,22649) = 512886605 / 1
LCM(22645,22649) = 512886605

Least Common Multiple (LCM) of 22645 and 22649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22645 and 22649. First we will calculate the prime factors of 22645 and 22649.

Prime Factorization of 22645

Prime Factorization of 22649

Now multiplying the highest exponent prime factors to calculate the LCM of 22645 and 22649.

LCM(22645,22649) = 5¹ × 7¹ × 647¹ × 11¹ × 29¹ × 71¹
LCM(22645,22649) = 512886605