What is the Least Common Multiple of 50832 and 50844?

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 50844 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 50844, than apply into the LCM equation.

GCF(50832,50844) = 12
LCM(50832,50844) = ( 50832 × 50844) / 12
LCM(50832,50844) = 2584502208 / 12
LCM(50832,50844) = 215375184

Least Common Multiple (LCM) of 50832 and 50844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50832 and 50844. First we will calculate the prime factors of 50832 and 50844.

Prime Factorization of 50832

Prime Factorization of 50844

Now multiplying the highest exponent prime factors to calculate the LCM of 50832 and 50844.

LCM(50832,50844) = 2⁴ × 3² × 353¹ × 19¹ × 223¹
LCM(50832,50844) = 215375184