What is the Least Common Multiple of 50750 and 50770?

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 50750 and 50770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50750 and 50770, than apply into the LCM equation.

GCF(50750,50770) = 10
LCM(50750,50770) = ( 50750 × 50770) / 10
LCM(50750,50770) = 2576577500 / 10
LCM(50750,50770) = 257657750

Least Common Multiple (LCM) of 50750 and 50770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50750 and 50770. First we will calculate the prime factors of 50750 and 50770.

Prime Factorization of 50750

Prime Factorization of 50770

Now multiplying the highest exponent prime factors to calculate the LCM of 50750 and 50770.

LCM(50750,50770) = 2¹ × 5³ × 7¹ × 29¹ × 5077¹
LCM(50750,50770) = 257657750