What is the Least Common Multiple of 84096 and 84105?

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 84096 and 84105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84096 and 84105, than apply into the LCM equation.

GCF(84096,84105) = 9
LCM(84096,84105) = ( 84096 × 84105) / 9
LCM(84096,84105) = 7072894080 / 9
LCM(84096,84105) = 785877120

Least Common Multiple (LCM) of 84096 and 84105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84096 and 84105. First we will calculate the prime factors of 84096 and 84105.

Prime Factorization of 84096

Prime Factorization of 84105

Now multiplying the highest exponent prime factors to calculate the LCM of 84096 and 84105.

LCM(84096,84105) = 2⁷ × 3³ × 73¹ × 5¹ × 7¹ × 89¹
LCM(84096,84105) = 785877120