What is the Least Common Multiple of 28105 and 28112?

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 28105 and 28112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28105 and 28112, than apply into the LCM equation.

GCF(28105,28112) = 7
LCM(28105,28112) = ( 28105 × 28112) / 7
LCM(28105,28112) = 790087760 / 7
LCM(28105,28112) = 112869680

Least Common Multiple (LCM) of 28105 and 28112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28105 and 28112. First we will calculate the prime factors of 28105 and 28112.

Prime Factorization of 28105

Prime Factorization of 28112

Now multiplying the highest exponent prime factors to calculate the LCM of 28105 and 28112.

LCM(28105,28112) = 5¹ × 7¹ × 11¹ × 73¹ × 2⁴ × 251¹
LCM(28105,28112) = 112869680