What is the Least Common Multiple of 49539 and 49544?

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 49539 and 49544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49539 and 49544, than apply into the LCM equation.

GCF(49539,49544) = 1
LCM(49539,49544) = ( 49539 × 49544) / 1
LCM(49539,49544) = 2454360216 / 1
LCM(49539,49544) = 2454360216

Least Common Multiple (LCM) of 49539 and 49544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49539 and 49544. First we will calculate the prime factors of 49539 and 49544.

Prime Factorization of 49539

Prime Factorization of 49544

Now multiplying the highest exponent prime factors to calculate the LCM of 49539 and 49544.

LCM(49539,49544) = 3¹ × 7² × 337¹ × 2³ × 11¹ × 563¹
LCM(49539,49544) = 2454360216