What is the Least Common Multiple of 49574 and 49589?

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 49574 and 49589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49574 and 49589, than apply into the LCM equation.

GCF(49574,49589) = 1
LCM(49574,49589) = ( 49574 × 49589) / 1
LCM(49574,49589) = 2458325086 / 1
LCM(49574,49589) = 2458325086

Least Common Multiple (LCM) of 49574 and 49589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49574 and 49589. First we will calculate the prime factors of 49574 and 49589.

Prime Factorization of 49574

Prime Factorization of 49589

Now multiplying the highest exponent prime factors to calculate the LCM of 49574 and 49589.

LCM(49574,49589) = 2¹ × 7¹ × 3541¹ × 17¹ × 2917¹
LCM(49574,49589) = 2458325086