What is the Least Common Multiple of 28890 and 28907?

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 28890 and 28907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28890 and 28907, than apply into the LCM equation.

GCF(28890,28907) = 1
LCM(28890,28907) = ( 28890 × 28907) / 1
LCM(28890,28907) = 835123230 / 1
LCM(28890,28907) = 835123230

Least Common Multiple (LCM) of 28890 and 28907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28890 and 28907. First we will calculate the prime factors of 28890 and 28907.

Prime Factorization of 28890

Prime Factorization of 28907

Now multiplying the highest exponent prime factors to calculate the LCM of 28890 and 28907.

LCM(28890,28907) = 2¹ × 3³ × 5¹ × 107¹ × 137¹ × 211¹
LCM(28890,28907) = 835123230