What is the Least Common Multiple of 2870 and 2890?

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 2870 and 2890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2870 and 2890, than apply into the LCM equation.

GCF(2870,2890) = 10
LCM(2870,2890) = ( 2870 × 2890) / 10
LCM(2870,2890) = 8294300 / 10
LCM(2870,2890) = 829430

Least Common Multiple (LCM) of 2870 and 2890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2870 and 2890. First we will calculate the prime factors of 2870 and 2890.

Prime Factorization of 2870

Prime Factorization of 2890

Now multiplying the highest exponent prime factors to calculate the LCM of 2870 and 2890.

LCM(2870,2890) = 2¹ × 5¹ × 7¹ × 41¹ × 17²
LCM(2870,2890) = 829430