What is the Least Common Multiple of 84090 and 84096?

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 84090 and 84096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84090 and 84096, than apply into the LCM equation.

GCF(84090,84096) = 6
LCM(84090,84096) = ( 84090 × 84096) / 6
LCM(84090,84096) = 7071632640 / 6
LCM(84090,84096) = 1178605440

Least Common Multiple (LCM) of 84090 and 84096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84090 and 84096. First we will calculate the prime factors of 84090 and 84096.

Prime Factorization of 84090

Prime Factorization of 84096

Now multiplying the highest exponent prime factors to calculate the LCM of 84090 and 84096.

LCM(84090,84096) = 2⁷ × 3² × 5¹ × 2803¹ × 73¹
LCM(84090,84096) = 1178605440