What is the Least Common Multiple of 28702 and 28714?

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 28702 and 28714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28702 and 28714, than apply into the LCM equation.

GCF(28702,28714) = 2
LCM(28702,28714) = ( 28702 × 28714) / 2
LCM(28702,28714) = 824149228 / 2
LCM(28702,28714) = 412074614

Least Common Multiple (LCM) of 28702 and 28714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28702 and 28714. First we will calculate the prime factors of 28702 and 28714.

Prime Factorization of 28702

Prime Factorization of 28714

Now multiplying the highest exponent prime factors to calculate the LCM of 28702 and 28714.

LCM(28702,28714) = 2¹ × 113¹ × 127¹ × 7² × 293¹
LCM(28702,28714) = 412074614