What is the Least Common Multiple of 49704 and 49724?

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 49704 and 49724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49704 and 49724, than apply into the LCM equation.

GCF(49704,49724) = 4
LCM(49704,49724) = ( 49704 × 49724) / 4
LCM(49704,49724) = 2471481696 / 4
LCM(49704,49724) = 617870424

Least Common Multiple (LCM) of 49704 and 49724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49704 and 49724. First we will calculate the prime factors of 49704 and 49724.

Prime Factorization of 49704

Prime Factorization of 49724

Now multiplying the highest exponent prime factors to calculate the LCM of 49704 and 49724.

LCM(49704,49724) = 2³ × 3¹ × 19¹ × 109¹ × 31¹ × 401¹
LCM(49704,49724) = 617870424