What is the Least Common Multiple of 28105 and 28119?

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 28119 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 28119, than apply into the LCM equation.

GCF(28105,28119) = 7
LCM(28105,28119) = ( 28105 × 28119) / 7
LCM(28105,28119) = 790284495 / 7
LCM(28105,28119) = 112897785

Least Common Multiple (LCM) of 28105 and 28119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28105 and 28119. First we will calculate the prime factors of 28105 and 28119.

Prime Factorization of 28105

Prime Factorization of 28119

Now multiplying the highest exponent prime factors to calculate the LCM of 28105 and 28119.

LCM(28105,28119) = 5¹ × 7¹ × 11¹ × 73¹ × 3¹ × 13¹ × 103¹
LCM(28105,28119) = 112897785