What is the Least Common Multiple of 28130 and 28147?

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 28130 and 28147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28130 and 28147, than apply into the LCM equation.

GCF(28130,28147) = 1
LCM(28130,28147) = ( 28130 × 28147) / 1
LCM(28130,28147) = 791775110 / 1
LCM(28130,28147) = 791775110

Least Common Multiple (LCM) of 28130 and 28147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28130 and 28147. First we will calculate the prime factors of 28130 and 28147.

Prime Factorization of 28130

Prime Factorization of 28147

Now multiplying the highest exponent prime factors to calculate the LCM of 28130 and 28147.

LCM(28130,28147) = 2¹ × 5¹ × 29¹ × 97¹ × 7¹ × 4021¹
LCM(28130,28147) = 791775110