What is the Least Common Multiple of 2870 and 2888?

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 2888 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 2888, than apply into the LCM equation.

GCF(2870,2888) = 2
LCM(2870,2888) = ( 2870 × 2888) / 2
LCM(2870,2888) = 8288560 / 2
LCM(2870,2888) = 4144280

Least Common Multiple (LCM) of 2870 and 2888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2870 and 2888. First we will calculate the prime factors of 2870 and 2888.

Prime Factorization of 2870

Prime Factorization of 2888

Now multiplying the highest exponent prime factors to calculate the LCM of 2870 and 2888.

LCM(2870,2888) = 2³ × 5¹ × 7¹ × 41¹ × 19²
LCM(2870,2888) = 4144280