What is the Least Common Multiple of 49428 and 49439?

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 49428 and 49439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49428 and 49439, than apply into the LCM equation.

GCF(49428,49439) = 1
LCM(49428,49439) = ( 49428 × 49439) / 1
LCM(49428,49439) = 2443670892 / 1
LCM(49428,49439) = 2443670892

Least Common Multiple (LCM) of 49428 and 49439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49428 and 49439. First we will calculate the prime factors of 49428 and 49439.

Prime Factorization of 49428

Prime Factorization of 49439

Now multiplying the highest exponent prime factors to calculate the LCM of 49428 and 49439.

LCM(49428,49439) = 2² × 3² × 1373¹ × 13¹ × 3803¹
LCM(49428,49439) = 2443670892