What is the Least Common Multiple of 50870 and 50890?

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 50870 and 50890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50870 and 50890, than apply into the LCM equation.

GCF(50870,50890) = 10
LCM(50870,50890) = ( 50870 × 50890) / 10
LCM(50870,50890) = 2588774300 / 10
LCM(50870,50890) = 258877430

Least Common Multiple (LCM) of 50870 and 50890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50870 and 50890. First we will calculate the prime factors of 50870 and 50890.

Prime Factorization of 50870

Prime Factorization of 50890

Now multiplying the highest exponent prime factors to calculate the LCM of 50870 and 50890.

LCM(50870,50890) = 2¹ × 5¹ × 5087¹ × 7¹ × 727¹
LCM(50870,50890) = 258877430