What is the Least Common Multiple of 28049 and 28063?

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 28049 and 28063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28049 and 28063, than apply into the LCM equation.

GCF(28049,28063) = 7
LCM(28049,28063) = ( 28049 × 28063) / 7
LCM(28049,28063) = 787139087 / 7
LCM(28049,28063) = 112448441

Least Common Multiple (LCM) of 28049 and 28063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28049 and 28063. First we will calculate the prime factors of 28049 and 28063.

Prime Factorization of 28049

Prime Factorization of 28063

Now multiplying the highest exponent prime factors to calculate the LCM of 28049 and 28063.

LCM(28049,28063) = 7¹ × 4007¹ × 19¹ × 211¹
LCM(28049,28063) = 112448441