What is the Least Common Multiple of 24644 and 24649?

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 24644 and 24649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24644 and 24649, than apply into the LCM equation.

GCF(24644,24649) = 1
LCM(24644,24649) = ( 24644 × 24649) / 1
LCM(24644,24649) = 607449956 / 1
LCM(24644,24649) = 607449956

Least Common Multiple (LCM) of 24644 and 24649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24644 and 24649. First we will calculate the prime factors of 24644 and 24649.

Prime Factorization of 24644

Prime Factorization of 24649

Now multiplying the highest exponent prime factors to calculate the LCM of 24644 and 24649.

LCM(24644,24649) = 2² × 61¹ × 101¹ × 157²
LCM(24644,24649) = 607449956