What is the Least Common Multiple of 50706 and 50724?

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 50706 and 50724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50706 and 50724, than apply into the LCM equation.

GCF(50706,50724) = 18
LCM(50706,50724) = ( 50706 × 50724) / 18
LCM(50706,50724) = 2572011144 / 18
LCM(50706,50724) = 142889508

Least Common Multiple (LCM) of 50706 and 50724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50706 and 50724. First we will calculate the prime factors of 50706 and 50724.

Prime Factorization of 50706

Prime Factorization of 50724

Now multiplying the highest exponent prime factors to calculate the LCM of 50706 and 50724.

LCM(50706,50724) = 2² × 3⁴ × 313¹ × 1409¹
LCM(50706,50724) = 142889508