What is the Least Common Multiple of 50785 and 50800?

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 50785 and 50800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50785 and 50800, than apply into the LCM equation.

GCF(50785,50800) = 5
LCM(50785,50800) = ( 50785 × 50800) / 5
LCM(50785,50800) = 2579878000 / 5
LCM(50785,50800) = 515975600

Least Common Multiple (LCM) of 50785 and 50800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50785 and 50800. First we will calculate the prime factors of 50785 and 50800.

Prime Factorization of 50785

Prime Factorization of 50800

Now multiplying the highest exponent prime factors to calculate the LCM of 50785 and 50800.

LCM(50785,50800) = 5² × 7¹ × 1451¹ × 2⁴ × 127¹
LCM(50785,50800) = 515975600