What is the Least Common Multiple of 50800 and 50814?

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 50800 and 50814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50800 and 50814, than apply into the LCM equation.

GCF(50800,50814) = 2
LCM(50800,50814) = ( 50800 × 50814) / 2
LCM(50800,50814) = 2581351200 / 2
LCM(50800,50814) = 1290675600

Least Common Multiple (LCM) of 50800 and 50814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50800 and 50814. First we will calculate the prime factors of 50800 and 50814.

Prime Factorization of 50800

Prime Factorization of 50814

Now multiplying the highest exponent prime factors to calculate the LCM of 50800 and 50814.

LCM(50800,50814) = 2⁴ × 5² × 127¹ × 3³ × 941¹
LCM(50800,50814) = 1290675600