What is the Least Common Multiple of 28145 and 28157?

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 28145 and 28157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28145 and 28157, than apply into the LCM equation.

GCF(28145,28157) = 1
LCM(28145,28157) = ( 28145 × 28157) / 1
LCM(28145,28157) = 792478765 / 1
LCM(28145,28157) = 792478765

Least Common Multiple (LCM) of 28145 and 28157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28145 and 28157. First we will calculate the prime factors of 28145 and 28157.

Prime Factorization of 28145

Prime Factorization of 28157

Now multiplying the highest exponent prime factors to calculate the LCM of 28145 and 28157.

LCM(28145,28157) = 5¹ × 13¹ × 433¹ × 37¹ × 761¹
LCM(28145,28157) = 792478765