What is the Least Common Multiple of 50814 and 50832?

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 50814 and 50832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50814 and 50832, than apply into the LCM equation.

GCF(50814,50832) = 18
LCM(50814,50832) = ( 50814 × 50832) / 18
LCM(50814,50832) = 2582977248 / 18
LCM(50814,50832) = 143498736

Least Common Multiple (LCM) of 50814 and 50832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50814 and 50832. First we will calculate the prime factors of 50814 and 50832.

Prime Factorization of 50814

Prime Factorization of 50832

Now multiplying the highest exponent prime factors to calculate the LCM of 50814 and 50832.

LCM(50814,50832) = 2⁴ × 3³ × 941¹ × 353¹
LCM(50814,50832) = 143498736