What is the Least Common Multiple of 50832 and 50842?

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 50832 and 50842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50832 and 50842, than apply into the LCM equation.

GCF(50832,50842) = 2
LCM(50832,50842) = ( 50832 × 50842) / 2
LCM(50832,50842) = 2584400544 / 2
LCM(50832,50842) = 1292200272

Least Common Multiple (LCM) of 50832 and 50842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50832 and 50842. First we will calculate the prime factors of 50832 and 50842.

Prime Factorization of 50832

Prime Factorization of 50842

Now multiplying the highest exponent prime factors to calculate the LCM of 50832 and 50842.

LCM(50832,50842) = 2⁴ × 3² × 353¹ × 11¹ × 2311¹
LCM(50832,50842) = 1292200272